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Commutative Algebra: more books (100)

Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) by David Eisenbud, 1995-03-30

Undergraduate Commutative Algebra (London Mathematical Society Student Texts) by Miles Reid, 1996-04-26

Introduction To Commutative Algebra (Volume 0) by Michael Atiyah, 1994-02-21

Combinatorial Commutative Algebra (Graduate Texts in Mathematics) by Ezra Miller, Bernd Sturmfels, 2005-06-21

Steps in Commutative Algebra (London Mathematical Society Student Texts) by Rodney Y. Sharp, 2001-02-15

Computational Commutative Algebra 1 by Martin Kreuzer, Lorenzo Robbiano, 2010-11-30

A Singular Introduction to Commutative Algebra by Gert-Martin Greuel, Gerhard Pfister, 2007-12-04

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

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics) by David Eisenbud, 2005-02-01

A Course in Commutative Algebra (Graduate Texts in Mathematics) by Gregor Kemper, 2010-12-29

Basic Commutative Algebra by Balwant Singh, 2010-12-31

Combinatorics and Commutative Algebra (Progress in Mathematics) by Richard P. Stanley, 2004-10-15

Introduction to Algebraic Geometry and Commutative Algebra (IISc Lecture Notes Series) by Dilip P. Patil, Uwe Storch, 2010-03-31

Geometric And Combinatorial Aspects Of Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)

lists with details

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/

Extractions: @import "/style.css"; 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.
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/
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

Extractions: 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.
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

Extractions: 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.
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

Extractions: 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.
Computational Commutative Algebra
MSRI, Berkeley, CA, USA; 1315 March 2003.Category Computers Algorithms Computational Algebra ConferencesCalendar. 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

Extractions: 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.
Commalg.org - The Center For Commutative Algebra
Click here for links to people in the commutative algebra community.
http://www.commalg.org/confs
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

Extractions: 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.
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
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

Extractions: 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.
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/

Extractions: 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.
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
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
Computational Commutative Algebra I
Computational commutative algebra 1.
http://cocoa.dima.unige.it/kr/
CoCoA System
A specialpurpose system for computations in commutative algebra.Category Science Math Algebra SoftwareCoCoA System Computations in commutative algebra. COCOA VIII COmputational COmmutativeAlgebra and International School on Computer Algebra (June 2003).
http://cocoa.dima.unige.it/
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/

Extractions: Organizers: Mark Green (IPAM, UCLA), Jurgen Herzog (Univ-Gesamthochschule-Essen), Bernd Sturmfels (UC Berkeley) 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".
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
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/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
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

Extractions: SINGULAR Introduction to Commutative Algebra" Registration Manual Overview ... Impressum 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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