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         Commutative Algebra:     more books (100)
  1. Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) by David Eisenbud, 1995-03-30
  2. Undergraduate Commutative Algebra (London Mathematical Society Student Texts) by Miles Reid, 1996-04-26
  3. Introduction To Commutative Algebra (Volume 0) by Michael Atiyah, 1994-02-21
  4. Combinatorial Commutative Algebra (Graduate Texts in Mathematics) by Ezra Miller, Bernd Sturmfels, 2005-06-21
  5. Steps in Commutative Algebra (London Mathematical Society Student Texts) by Rodney Y. Sharp, 2001-02-15
  6. Computational Commutative Algebra 1 by Martin Kreuzer, Lorenzo Robbiano, 2010-11-30
  7. A Singular Introduction to Commutative Algebra by Gert-Martin Greuel, Gerhard Pfister, 2007-12-04
  8. Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) by David Cox, John Little, et all 2006-02-24
  9. The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics) by David Eisenbud, 2005-02-01
  10. A Course in Commutative Algebra (Graduate Texts in Mathematics) by Gregor Kemper, 2010-12-29
  11. Basic Commutative Algebra by Balwant Singh, 2010-12-31
  12. Combinatorics and Commutative Algebra (Progress in Mathematics) by Richard P. Stanley, 2004-10-15
  13. Introduction to Algebraic Geometry and Commutative Algebra (IISc Lecture Notes Series) by Dilip P. Patil, Uwe Storch, 2010-03-31
  14. Geometric And Combinatorial Aspects Of Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)

1. Commalg.org - The Center For Commutative Algebra
A site for the commutative algebra community, including news, conference and preprint announcements, Category Science Math Algebra...... Welcome to commalg.org! commalg.org is a website devoted to the collection anddissemination of information relevant to the commutative algebra community.
http://www.commalg.org/
@import "/style.css";
Welcome to commalg.org!
commalg.org is a website devoted to the collection and dissemination of information relevant to the commutative algebra community. This information is collected in six areas:
  • Conference Announcements. This is where we post information about upcoming conferences that focus, at least partially, on commutative algebra. Use this form to submit a conference announcement. Imminent conferences can be found in the right sidebar. Preprint Announcements. This is where we provide links to preprints in commutative algebra. Unfortunately, commalg.org is not a preprint server, that is, we do not store preprints here. Thankfully, the arXiv preprint server ( what? ) has a section devoted to Commutative Algebra . We encourage you to post your own preprints to the arXiv server, even if you already post them to your personal webpage ( why? ). Use this form to submit information regarding new or previously unannounced preprints. News. This is an area for general information about the commalg community not included in the sections above. Examples of news include, but are not restricted to, announcements of awards being made to commutative algebraists, photos from conferences being posted, or (other things else we haven't thought of). Use this form to submit news to be posted.
  • 2. Commalg.org - The Center For Commutative Algebra
    Preprint announcements and links.Category Science Math Publications Subject Preprint Archives...... Click here for links to people in the commutative algebra community. external links.Click here for links to other websites relevant to commutative algebra.
    http://www.commalg.org/preprints/
    @import "/style.css";
    Preprints
    Below are the most recent additions to our files. Click on a name to see the announcement. Click here for previous months' preprints. Panov : Stanley-Reisner rings and torus actions, March 17, 2003
    Kurano
    : Numerical equivalence defined on Chow groups of Noetherian local rings, March 13, 2003
    Watanabe-Yoshida
    : Minimal Hilbert-Kunz multiplicity, March 13, 2003
    Hashimoto
    : "Geometric quotients are algebraic schemes" based on Fogarty's idea, March 13, 2003
    Brenner
    : Computing the tight closure in dimension two, March 13, 2003
    Yanagawa
    : Derived Category of Squarefree Modules and Local Cohomology with Monomial Ideal Support, March 13, 2003
    Jorgensen
    : Recognizing dualizing complexes, March 13, 2003
    Yoshino
    : Modules of G-dimension zero over local rings with the cube of maximal ideal being zero, March 13, 2003
    Karu
    : Local Strong Factorization of birational maps, March 13, 2003
    Sanders
    : Normal form theory and spectral sequences, March 13, 2003
    Domokos-Frenkel
    : On orthogonal invariants in characteristic 2, March 13, 2003 Eto-Yoshida : Notes on Hilbert-Kunz multiplicity of Rees algebras, March 5, 2003

    3. Commutative Algebra
    Calendar Introductory Workshop in commutative algebra September 9, 2002 to September 13, 2002 Organized by Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels The introductory workshop in the Comutative Algebra program
    http://zeta.msri.org/calendar/programs/ProgramInfo/17/show_program
    Calendar
    Commutative Algebra
    August 19, 2002 to May 16, 2003
    at the Mathematical Sciences Research Institute, Berkeley, California Organized by: Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels
    A significant development over the last 20 years is the role that commutative algebra is taking as a tool for solving problems from a rapidly expanding list of disciplines. In oversimplified terms, the process could be described as follows: Mathematicians with various backgrounds discover ways of encoding information of interest into commutative rings and their modules, then use algebraic concepts, methods, and results to analyze that information efficiently. A famous example of such encoding is the translation of an abstract finite simiplicial complex into an ideal represented by the zeroes of square-free monomials in a set of variables corresponding to the vertices of the simplicial complex. Of course, the existing body of work in commutative algebra is not tailored to suit all new demands. This is precisely where the subject benefits most from the recent surge of external interest, as it receives an influx of novel questions, points of view, and expertise.
    Our year-long program will highlight these recent developments and will include the following areas:
    Tight closure and characteristic p methods
    Toric algebra and geometry
    Homological algebra
    Representation theory
    Singularities and intersection theory
    Combinatorics and Grobner bases

    4. Commutative Algebra
    commutative algebra. August Of course, the existing body of work in commutativealgebra is not tailored to suit all new demands. This
    http://www.msri.org/calendar/programs/ProgramInfo/17/show_program
    Calendar
    Commutative Algebra
    August 19, 2002 to May 16, 2003
    at the Mathematical Sciences Research Institute, Berkeley, California Organized by: Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels
    A significant development over the last 20 years is the role that commutative algebra is taking as a tool for solving problems from a rapidly expanding list of disciplines. In oversimplified terms, the process could be described as follows: Mathematicians with various backgrounds discover ways of encoding information of interest into commutative rings and their modules, then use algebraic concepts, methods, and results to analyze that information efficiently. A famous example of such encoding is the translation of an abstract finite simiplicial complex into an ideal represented by the zeroes of square-free monomials in a set of variables corresponding to the vertices of the simplicial complex. Of course, the existing body of work in commutative algebra is not tailored to suit all new demands. This is precisely where the subject benefits most from the recent surge of external interest, as it receives an influx of novel questions, points of view, and expertise.
    Our year-long program will highlight these recent developments and will include the following areas:
    Tight closure and characteristic p methods
    Toric algebra and geometry
    Homological algebra
    Representation theory
    Singularities and intersection theory
    Combinatorics and Grobner bases

    5. Commutative Algebra -- From MathWorld
    Let A denote an algebra, so that A is a vector space over R and Finch, S. "Zero Structures in Real Algebras." http// www. com/ asolve/ zerodiv/ zerodiv. Zariski, O. and Samuel, P. commutative algebra I. New York Springer-Verlag, 1958.
    http://www.astro.virginia.edu/~eww6n/math/CommutativeAlgebra.html

    Algebra
    Named Algebras Miscellaneous Algebras
    Commutative Algebra

    Let A denote an -algebra, so that A is a vector space over R and
    Now define
    where . An Associative -algebra is commutative if for all . Similarly, a ring is commutative if the multiplication operation is commutative, and a Lie algebra is commutative if the commutator A, B ] is for every A and B in the Lie algebra Abelian Group Commutative
    References Atiyah, M. F. and MacDonald, I. G. Introduction to Commutative Algebra. Reading, MA: Addison-Wesley, pp. 9-10, 1969. Cox, D.; Little, J.; and O'Shea, D. Ideals, Varieties, and Algorithms: An Introduction to Algebraic Geometry and Commutative Algebra, 2nd ed. New York: Springer-Verlag, 1996. Eisenbud, D. (Ed.). Commutative Algebra, Algebraic Geometry, and Computational Methods. Singapore: Springer-Verlag, 1999. Finch, S. "Zero Structures in Real Algebras." http://www.mathsoft.com/asolve/zerodiv/zerodiv.html Kreuzer, M. and Robbiano, L. Computational Commutative Algebra 1. Berlin: Springer-Verlag, 2000. MacDonald, I. G. and Atiyah, M. F.

    6. Computational Commutative Algebra
    MSRI, Berkeley, CA, USA; 1315 March 2003.Category Computers Algorithms Computational Algebra Conferences......Calendar. Computational commutative algebra. March 13, 2003 to March 15, 2003. Computationalcommutative algebra Schedule. Parent Program commutative algebra.
    http://www.msri.org/calendar/workshops/WorkshopInfo/200/show_workshop
    Calendar
    Computational Commutative Algebra
    March 13, 2003 to March 15, 2003
    Organized by: Serkan Hosten, Craig Huneke, Bernd Sturmfels (chair), and Irena Swanson This workshop is about computational commutative algebra understood in a broad sense, including both theory and its practice in fields related to commutative algebra, such as combinatorics, algebraic geometry, group theory and their applications. It will include talks by Gert-Martin Greuel, Lorenzo Robbiano, and Michael Stillman, followed by a panel discussion on software for commutative algebra. The rest of the workshop will be in standard format, with invited lectures and time for discussions and computer explorations.
    Invited speakers include:
    Paulo Aluffi
    Matthias Aschenbrenner
    Jon Carlson
    Juergen Herzog
    Gabriela Jeronimo
    Gregor Kemper
    Vic Reiner
    Hal Schenck Josef Schicho Rekha Thomas Additional Information: Computational Commutative Algebra Schedule Parent Program: Commutative Algebra Lectures on Streaming Video: This event is now over. Resources from this event, including streaming video , may be available.

    7. Commalg.org - The Center For Commutative Algebra
    Click here for links to people in the commutative algebra community.
    http://www.commalg.org/confs
    @import "/style.css";
    Announcements for Upcoming Conferences
    MSRI: Computation : March 13, 2003
    Baton Rouge, LA
    : March 14, 2003
    Goettingen, Germany
    : March 23, 2003
    Banff, Alberta, Canada
    : March 29, 2003
    BACH^2
    : April 11, 2003
    San Francisco
    : May 3, 2003
    CoCoA VIII (Cádiz, Spain)
    : June 1, 2003
    CIRM (Luminy, France)
    : June 2, 2003
    Sevilla, Spain
    : June 18, 2003
    Lisbon, Portugal (LCCA)
    : June 23, 2003
    Lisbon, Portugal (ICAMR)
    : July 14, 2003 Snowbird, UT : July 20, 2003 Bangalore, India : December 17, 2003
    Recent Conferences
    MSRI: Hom. Alg. and Rep. Thy. : February 3, 2003 van der Waerden Centenary (Zurich) : January 31, 2003 Allahabad : December 23, 2002 MSRI: Local/Birational Theory : December 2, 2002 Red Raider Mini-Symposium, Lubbock TX : November 21, 2002 Orlando, FL : November 9, 2002 Route 81 : October 26, 2002 BADMathDay, MSRI : October 12, 2002 KUMUNU IV : September 28, 2002 Mamaia, Romania : September 22, 2002 See all archived conference announcements. home preprints conferences ... submit recent news Looking back, we find that it's been one year since our grand opening ! Happy birthday to us! And thanks to all of you for your support over the past year.

    8. Introductory Workshop In Commutative Algebra
    Calendar. Introductory Workshop in commutative algebra. September 9, 2002 toSeptember 13, 2002. CA Intro Schedule. Parent Program commutative algebra.
    http://zeta.msri.org/calendar/workshops/WorkshopInfo/196/show_workshop
    Calendar
    Introductory Workshop in Commutative Algebra
    September 9, 2002 to September 13, 2002
    Organized by: Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels The introductory workshop in the Comutative Algebra program will feature three lectures each from six speakers: David Benson, David Eisenbud, Mark Haiman, Melvin Hochster, Rob Lazarsfeld, and Bernard Teissier. The talks will cover aspects of the relationship of commutative algebra to group cohomology, combinatorics, and algebraic geometry, as well as covering major themes in commutative algebra today.
    The titles of the talks-series are:
    All talks will be aimed at a graduate level.
    Additional Information: CA Intro Schedule Parent Program: Commutative Algebra Lectures on Streaming Video: This event is now over. Resources from this event, including

    9. Courses
    elementary course which requires minimal prerequisites from commutative algebra (see above) for its understanding.
    http://www.maths.nott.ac.uk/personal/ibf/courses.html

    10. Commutative Algebra: Local And Birational Theory
    Calendar. commutative algebra Local and Birational Theory. December 2, 2002 toDecember 6, 2002. commutative algebra Local and Birational Theory Schedule.
    http://zeta.msri.org/calendar/workshops/WorkshopInfo/197/show_workshop
    Calendar
    Commutative Algebra: Local and Birational Theory
    December 2, 2002 to December 6, 2002
    Organized by: Craig Huneke (chair), Paul Roberts, Karen Smith, and Bernd Ulrich. This workshop will concentrate on several aspects of commutative algebra including birational algebra, tight closure and characteristic p methods, Rees algebra and their applications, intersection theory, multiplicities and mixed characteristic.
    The following speakers are expected to participate:
    L. Avramov, M. Blickle, S. Cutkosky, L. Ein, H. Flenner, N. Hara,
    R. Heitmann, M. Hochster, E. Hyry, T. Kawasaki, K. Kurano,
    J. Lipman, C. Polini, C. Rotthaus, A. Singh, N. Srinivas,
    I. Swanson, W. Vasconcelos, O. Villamayor, and K. Watanabe.
    For titles and abstracts, please see link below.
    Additional Information: Commutative Algebra: Local and Birational Theory Schedule
    Parent Program: Commutative Algebra Lectures on Streaming Video: This event is now over. Resources from this event, including streaming video , may be available. MSRI Home Page Search the MSRI Website Subject and Title Index webmaster@msri.org

    11. Algebraic Geometry, Commutative Algebra And Combinatorics -- Erice 2001, NATO Ad
    Exterior Algebra Methods and Other New Directions. Erice, Sicily, Italy; 9 15 September 2001.Category Science Math Events Past Events...... A special focus will be on exterior algebra methods which have recently grown inimportance in Algebraic Geometry, commutative algebra, and Combinatorics, and
    http://www.math.sunysb.edu/~sorin/Erice-2001/

    Event photos
    The workshop in Erice will address a wide range of new developments in classical Algebraic Geometry such as curves and their moduli, surfaces, higher dimensional varieties, vector bundles, and toric varieties. A special focus will be on exterior algebra methods which have recently grown in importance in Algebraic Geometry, Commutative Algebra, and Combinatorics, and their computational aspects (Bernstein-Gel'fand-Gel'fand correspondence, Beilinson monad, theory of Chow forms and resultants, algebraic shifting, free resolutions over the exterior algebra, linear syzygies, hyperplane arrangements, ...) Organizing Committee: David Eisenbud Lucian Badescu Sorin Popescu and Alfio Ragusa Speakers (tentative): The following people have responded positively to our invitation: Sponsors: NATO Scientific Affairs Division EAGER: European Algebraic Geometry Research Training Network and the University of Catania , Sicily. Registration: The cost of staying at the Ettore Majorana Centre will be approximately $80 per night (lodging/meals/transfer from/to the airport/1/2 day trip included), and there will be a fee of $100 for the social events. We will be able to offer financial assistance to some of the participants, particularly to younger mathematicians and speakers.

    12. Sundry Algebraic Geometry And Commutative Algebra Sites
    A list of personal home pages.Category Science Math Geometry Algebraic Geometry...... of sources; if you know of addresses (your own or others) involving Algebraic Geometryor commutative algebra that I could include, please send me a note!
    http://www.math.unl.edu/~bharbour/alggeom.html
    I have compiled this list from a number of sources; if you know
    of addresses (your own or others) involving Algebraic Geometry
    or Commutative Algebra that I could include, please send me a note!
    Paolo Aluffi

    Kevin Coombes

    Duke archive

    Brian Harbourne
    ...
    Mika Seppala

    Mail Comments to: bharbourne@unl.edu

    13. Commutative Algebra Days
    Mention that you are participating in commutative algebra Days in orderto get the special rate of $44 (Town House) or $59 (Holiday Inn).
    http://www.math.unl.edu/?area=cadays

    14. Computational Commutative Algebra I
    Computational commutative algebra 1.
    http://cocoa.dima.unige.it/kr/
    Computational Commutative Algebra 1
    M. Kreuzer and L. Robbiano
    Fields : Symbolic Computation, Computer Algebra; Computational Mathematics and Scientific Computing; Algebra Keywords : Groebner bases, commutative algebra, computer algebra, CoCoA , polynomial systems. Description Reviews and comments Table of Contents (PDF) The authors ... (close up)

    15. CoCoA System
    A specialpurpose system for computations in commutative algebra.Category Science Math Algebra Software......CoCoA System Computations in commutative algebra. COCOA VIII COmputational COmmutativeAlgebra and International School on Computer Algebra (June 2003).
    http://cocoa.dima.unige.it/
    CoCoA System
    Co mputations in Co mmutative A lgebra Home Page Download
    CoCoA 4.2
    CoCoA manual
  • GUI help
    download: tar.gz zip
  • help.html [single file: 490k] gz zip
  • help.pdf CoCoA packages
    news, updates and bug fixes The CoCoA Team Research Team in GENOVA
    Conferences
    and publications WinCoCoA page in REGENSBURG What is CoCoA?
  • Overview pdf
  • History Research and Education ...
  • Papers and books citing CoCoA
  • Teaching with CoCoA
  • Lab classes with CoCoA
  • Kreuzer-Robbiano book:
    Computational Commutative Algebra 1
    COCOA VIII COmputational COmmutative Algebra and International School on Computer Algebra (June 2003) New Version:
    CoCoA 4.2

    How to cite CoCoA
    Send bug reports, questions, and suggestions to cocoa at dima.unige.it
  • 16. Commutative Algebra And Geometry
    commutative algebra and Geometry. March 29 April 03, 2003. OrganizersMark Green (IPAM, UCLA), Jurgen Herzog (Univ-Gesamthochschule
    http://www.pims.math.ca/birs/workshops/2003/03w5005/
    Commutative Algebra and Geometry
    March 29 - April 03, 2003
    Organizers: Mark Green (IPAM, UCLA), Jurgen Herzog (Univ-Gesamthochschule-Essen), Bernd Sturmfels (UC Berkeley)
    Objectives
    We are proposing a one-week regular conference (40 participants) on commutative algebra, with an emphasis on interactions with algebraic geometry, polyhedral geometry and combinatorics. This conference would be held in the Spring of 2003 and is part of the Special Program 2002/03 on Commutative Algebra at MSRI Berkeley. It is our intention to invite younger researchers and to also include first-rate mathematicians who work not in commutative algebra proper but in nearby fields. Specifically, we shall invite several leading algebraic geometers. In selecting lectures we will place a particular emphasis on recent developments, applications and future directions. The following is a sample of topics to be discussed in this workshop: toric rings and varieties, Koszul algebras, toric K-theory, exterior algebra methods, arrangements of linear subspaces, Flag varieties and Schubert varieties, Grobner bases, sagbi bases, zero-dimensional schemes, elimination theory, Hilbert schemes, singularities, invariant theory. All of these topics are highly relevant for applications of commutative algebra, both within mathematics and outside of mathematics. To give a concrete example for the usefulness of Commutative Algebra as scientific tool, we wish to mention the recent interaction with Statistics. An introduction to this can be found in the book Giovanni Pistone, Eva Riccomagno and Henry Wynn: Algebraic Statistics: Computational Commutative Algebra in Statistics, Chapman and Hall, Boca Raton, London, 2001, ISBN: 1-58488-204-2 The proposed workshop at Banff deals with fundamental problems whose solutions will benefit practical applications such as those in "Algebraic Statistics".

    17. Commutative Algebra And Geometry - Confirmed Participants
    Autonoma de Madrid) Yanagawa, Kohji (Osaka University) Zelevinsky, Andrei (NortheasternUniversity) Back to the main commutative algebra and Geometry page.
    http://www.pims.math.ca/birs/workshops/2003/03w5005/participants.html
    Confirmed Participants as of 17/03/2003
    Blickle, Manuel (MSRI)
    Boij, Mats (Royal Institute of Technology)
    Brenner, Holger (Universitaet Bochum)
    Bruns, Winfried (University of Osnabruck)
    Carrell, James (University of British Columbia)
    Cattani, Eduardo (University of Massachusetts)
    Charalambous, Hara (University at Albany, SUNY)
    Conca, Aldo (University of Genova)
    Cox, David (Amherst College)
    Dickenstein, Alicia (University of Buenos Aires)
    Eisenbud, David (Mathematical Science Research Institute) Elizondo, E. Javier (Instituto de Matematicas, U.N.A.M) Green, Mark (IPAM, UCLA) Gubeladze, Joseph (MSRI) Herzog, Jurgen (Universitat-Gesamthochschule-Essen) Hibi, Takayuki (Osaka University) Hosten, Serkan (San Francisco State University) Huang, I-Chiau (Academia Sinica) Hulek, Klaus (Fachbereich MathematikUniversitat Hannover) Iarrobino, Anthony (Northeastern University) Khovanskii, Askold (University of Toronto) Kreuzer, Martin (University of Regensburg) Littelmann, Peter (Mathematical Sciences Research Institute) Maclagan, Diane (Stanford University)

    18. Commutative Algebra Authors/titles Recent Submissions
    commutative algebra. To appear in Fundamenta Mathematicae Subjclass CommutativeAlgebra; Rings and Algebras; Representation Theory MSC-class 13D25; 16E45
    http://arxiv.org/list/math.AC/recent
    Commutative Algebra
    Authors and titles for recent submissions
  • Tue, 18 Mar 2003 Fri, 14 Mar 2003 Thu, 13 Mar 2003 Tue, 11 Mar 2003 ... Mon, 10 Mar 2003
  • Tue, 18 Mar 2003
    math.GR/0303187 abs ps pdf other
    Title: Dickson invariants, regularity and computation in group cohomology
    Authors: David Benson
    Subj-class: Group Theory; Commutative Algebra; Rings and Algebras
    MSC-class:
    math.AG/0303203 abs ps pdf other
    Title: Multiplier Ideals of Sufficiently General Polynomials
    Authors: Jason Howald
    Comments: 9 pages, 1 figure
    Subj-class: Algebraic Geometry; Commutative Algebra
    MSC-class:
    math.AG/0303189 abs ps pdf other
    Title: Log-terminal singularities and vanishing theorems
    Authors: Hans Schoutens
    Subj-class: Algebraic Geometry; Commutative Algebra; Rings and Algebras
    MSC-class:
    math.AC/0303200 abs ps pdf other
    Title: Valuations, Deformations, and Toric Geometry Authors: Bernard Teissier Subj-class: Commutative Algebra; Algebraic Geometry MSC-class:
    Fri, 14 Mar 2003
    math.AT/0303164 abs ps pdf other
    Title: Stanley-Reisner rings and torus actions Authors: Taras E. Panov

    19. Commutative Algebra Authors/titles Jan 2003
    commutative algebra. Title Universality Of Nash Equilibria Authors Ruchira S.Datta Subjclass Algebraic Geometry; commutative algebra; Combinatorics
    http://arxiv.org/list/math.AC/0301
    Commutative Algebra
    Authors and titles for Jan 2003
    math.AG/0301001 abs pdf
    Title: Universality Of Nash Equilibria
    Authors: Ruchira S. Datta
    Subj-class: Algebraic Geometry; Commutative Algebra; Combinatorics
    math.AC/0301030 abs ps pdf other
    Title: Stanley-Reisner rings, sheaves, and Poincare-Verdier duality
    Authors: Kohji Yanagawa
    Comments: 15 pages
    Subj-class: Commutative Algebra
    MSC-class:
    math.CV/0301038 abs ps pdf other
    Title: Positive trigonometric polynomials
    Authors: Vladimir Tkachev
    Comments: 9 pages
    Subj-class: Complex Variables; Algebraic Geometry; Commutative Algebra
    MSC-class:
    math.AC/0301040 abs ps pdf other
    Title: Quadratic functions on torsion groups Authors: Florian Deloup Gwenael Massuyeau Comments: 15 pages with no figure Subj-class: Commutative Algebra; Geometric Topology MSC-class:
    math.AC/0301046 abs ps pdf other
    Title: Star-Operations Induced by Overrings Authors: Sharon M. Clarke Comments: This article consists of 11 pages Subj-class: Commutative Algebra
    math.AG/0301088 abs ps pdf other
    Title: Authors: Laurent Buse Andre Galligo Comments: 21 pages, 2 figures

    20. Book: "A
    Book A SINGULAR Introduction to commutative algebra . This book hasbeen written to learn commutative algebra in a new style, taking
    http://www.singular.uni-kl.de/Singular-book.html
    SINGULAR Introduction to Commutative Algebra"
    Version 2.0
    Registration Manual Overview ... Impressum
    Book: "A S INGULAR Introduction to Commutative Algebra"
    This book has been written to learn commutative algebra in a new style, taking into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, it is shown how to handle it by computer. The computations are exemplified with the computer algebra system S INGULAR , which was developed by the authors. S INGULAR is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The book can be used for courses, seminars and as a basis for studying research papers in commutative algebra, computer algebra and algebraic geometry. The text starts with the theory of rings and modules and standard bases with emphasis on local rings and localization. It is followed by the central concepts of commutative algebra such as integral closure, dimension theory, primary decomposition, Hilbert function, completion, flatness and homological algebra. An appendix is devoted to algebraic geometry to show how geometric problems can be understood using commutative algebra. The book includes a CD with a distribution of S INGULAR for various platforms (Unix/Linux, Windows, Macintosh) and which contains all examples and procedures explained in the text.

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