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Homological Algebra:     more books (109)

An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) by Charles A. Weibel, 1995-10-27 An Introduction to Homological Algebra (Universitext) by Joseph J. Rotman, 2008-10-14 A Course in Homological Algebra (Graduate Texts in Mathematics) by Peter J. Hilton, U. Stammbach, 1997-01-17 An Elementary Approach to Homological Algebra (Monographs and Surveys in Pure and Applied Math) by L.R. Vermani, 2003-05-28 Basic Homological Algebra (Graduate Texts in Mathematics) by M. Scott Osborne, 2000-05-19 Homological Algebra (PMS-19) by Henri Cartan, Samuel Eilenberg, 1999-11-29 Homological Algebra by S.I. Gelfand, Yu.I. Manin, 1999-06-22 Methods of Homological Algebra (Springer Monographs in Mathematics) by Sergei I. Gelfand, Yuri I. Manin, 2010-11-02 Algebras, Rings and Modules: Volume 2 (Mathematics and Its Applications) by Michiel Hazewinkel, Nadiya Gubareni, et all 2010-11-02 Abelian Groups, Rings, Modules, and Homological Algebra (Lecture Notes in Pure and Applied Mathematics) Notes on Homological Algebra (Mathematics Studies) by Joseph J. Rotman, 1971-06-17 Commutative Algebra: Geometric, Homological, Combinatorial and Computational Aspects (Lecture Notes in Pure and Applied Mathematics) K-theory and Homological Algebra: A Seminar Held at the Razmadze Mathematical Institute in Tbilisi, Georgia, USSR 1987-88 (Lecture Notes in Mathematics) Trivial extensions of Abelian categories: Homological algebra of trivial extensions of Abelian categories with applications to ring theory (Lecture notes in mathematics ; 456) by Robert M Fossum, 1975

lists with details

1. 18: Category Theory, Homological Algebra
   In the "known maths" series.Category Science Math Algebra Category Theory While the general theory and certain types of categories have attracted considerableinterest, the area of homological algebra has proved most fruitful in  
   http://www.math.niu.edu/~rusin/known-math/index/18-XX.html
   
   Extractions: POINTERS: Texts Software Web links Selected topics here Category theory, a comparatively new field of mathematics, provides a universal framework for discussing fields of algebra and geometry. While the general theory and certain types of categories have attracted considerable interest, the area of homological algebra has proved most fruitful in areas of ring theory, group theory, and algebraic topology. The word "category" is used to mean something completely different in general topology This is among the smaller areas in the Math Reviews database. Browse all (old) classifications for this area at the AMS. Textbooks, reference works, and tutorials

2. Lee Lady: HOMOLOGICAL ALGEBRA
   Lee Lady Topics in homological algebra A Course in homological algebra. Professor E.L.  
   http://www.math.hawaii.edu/~lee/homolog
   
   Extractions: In the fall of 1974, I returned to the University of Kansas after spending a year at the University of Illinois. During my time at Illinois, I had sat in on a course on Topos Theory (the most avant-garde form of category theory) given by John Gray, and had also attended the commutative ring theory seminars led by Robert Fossum, Philip Griffith, and Graham Evans. I had also spent a lot of time in the library, as usual reading on a large variety of topics, but most especially trying to understand the most recent commutative ring theory, especially as it related to algebraic geometry. Back at Kansas, the ring theorists were concerning themselves with the Gilmer-style theory of non-noetherian commutative rings, and were intimidated by any homological approach at all, even the bare mention of Ext. Paul Conrad who was the head of the algebra department (as it were) at Kansas suggested that I might like to teach a two-semester graduate topics course. I suggested that Homological Algebra might be an appropriate course. My objective was to educate the faculty as well as whatever students enrolled. And in fact, all three rings theorists Brewer, Rutter, and Philip Montgomery, attended regularly.

3. Non-abelian Homological Algebra
   Last updated 21 January, 1999 Some publications in nonabelian homological algebra R.Brown, `Some problems in non-Abelian homological and homotopical algebra', Homotopy theory and related topics  
   http://www.bangor.ac.uk/~mas010/nonlnpub.htm
   
   Extractions: Last updated 21 January, 1999 This Bibliography lists some papers and books on multiple categories and groupoids, non-linear homological algebra, and related areas directly relevant to the themes developed in the accompanying article on Higher dimensional group theory The list is not complete, and should be thought of more as an entry point into the literature. It is hoped to develop it over time. The paper "Some problems in non abelian homological and homotopical algebra" gives some 35 problems or problem areas in this field. I have given a separate and fuller bibliography on the non abelian tensor product. This bibliography should be related to papers on Lie groupoids, Lie algebroids and Lie pseudoalgebras in a bibliography compiled by Kirill Mackenzie. R.Aboughazi, `Produit tensoriel du groupe d'Heisenberg', Bull. Soc. Math. France, 15, 95-106, 1987. G. Abramson, J.-P.Meyer, J.Smith, `A higher dimensional analogue of the fundamental groupoid', in Recent developments of algebraic topology, RIMS Kokyuroku 781, Kyoto, 38-45, 1992. F.Al-Agl, Aspects of multiple categories, University of Wales PhD Thesis, 1989.

4. History Of Homological Algebra, By Chuck Weibel
   History of homological algebra, by Chuck Weibel This is a survey of the history of homological algebra, from its beginnings with Riemann and Betti, and Poincaré, to the previous decade.  
   http://www.math.uiuc.edu/K-theory/0245

5. An Introduction To Homological Algebra - Cambridge University Press
   A portrait of the subject of homological algebra as it exists today. The landscape of homological algebra has evolved over the last halfcentury into a fundamental tool for the working  
   http://books.cambridge.org/0521559871.htm
   
   Extractions: Pure Mathematics Hardback In stock 1. Chain complexes; 2. Derived functors; 3. Tor and Ext; 4. Homological dimensions; 5. Spectral sequences; 6. Group homology and cohomology; 7. Lie algebra homology and cohomology; 8. Simplicial methods in homological algebra; 9. Hothschild and cyclic homology; 10. The derived category; Appendix: category theory language.

6. AC Commutative Algebra
   Articles cover commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.  
   http://front.math.ucdavis.edu/math.AC
   
   Extractions: Authors: AB CDE FGH IJK ... U-Z 18 Mar math.AG/0303203 Multiplier Ideals of Sufficiently General Polynomials. Jason Howald . 9 pages. AG AC 18 Mar math.AG/0303189 Log-terminal singularities and vanishing theorems. Hans Schoutens AG AC RA 18 Mar math.GR/0303187 Dickson invariants, regularity and computation in group cohomology. David Benson GR AC RA 14 Mar math.AT/0303164 Stanley-Reisner rings and torus actions. Taras E. Panov (Moscow State University and ITEP). 28 pages. ITEP-TH-91/02. AT AC CO 13 Mar math.AG/0303148

7. MATH 620 Proposal
   This is the outline of a proposed course in homological algebra. MATH 620homological algebra. DATE Fall Term, 2003. INSTRUCTOR John Beachy.  
   http://www.math.niu.edu/~beachy/courses/algebra/03f620proposal.html
   
   Extractions: Categories and functors, projective and injective modules, complexes and homology, Ext, Tor, and dimensions. Applications to cohomology of groups and ring theory. PREREQUISITE: MATH 521 TEXT: An Introduction to Homological Algebra, by Rotman [Academic Press, 1979] SYLLABUS: Chapter 2. Hom and tensor Chapter 3. Projectives, injectives, and flats Extensions of modules Chapter 6: Homology Chapter 7: Ext Chapter 8: Tor Unfortunately, it seems to be impossible to also cover several important chapters:

8. Mark McConnell
   WANDL, Inc. Papers and software for homological algebra.  
   http://www.math.okstate.edu/~mmcconn/
   
   Extractions: In May 1999, I left academia and took up a new career at WANDL , a small company that produces software for modeling large telecommunications networks. Our family's home is in Warren, NJ. My daughter and I are members of the choir of Trinity Episcopal Church in Princeton. Here is my original home page , with information about my mathematical work, my program Sheafhom , musical activities, family, etc. Our current contact information is: Mark McConnell and Connie Chen

9. Grundkurser I Matematik & Tillämpad Matematik / Numerisk Analys
   Rotman, An Introduction to homological algebra, Academic Press. Gavs senast i lp  
   http://www.math.chalmers.se/Math/Foutb/Grundkurser.html
   
   Extractions: Kurserna är indelade i följande grupper: Litteraturuppgifterna nedan avser standardlitteraturen, och det händer att annan litteratur används. [A1] Galoisteori (5p) Ändliga kroppsutvidgningar, Galoisgrupper, lösbarhet av polynomekvationer Litteratur: I.N. Stewart, Galois Theory Ges vartannat år; gavs senast i lp II 1995/96 av Juliusz Brzezinski [A2] Algebraisk talteori (5p) Algebraiska tal, Dedekindringar, kvadratiska och cyklotomiska kroppar, geometriska metoder, klassgrupper, Dirichlets enhetssats, diofantiska ekvationer, lokala och analytiska metoder Litteratur: I. Stewart, D. Tall, Algebraic number theory Number Fields , Springer, eller J.P. Serre, A Course in Arithmetic , Springer Ges vartannat år; gavs senast i lp II 1996/97 av Juliusz Brzezinski [A3] Grundkurs i algebra / Algebra för doktorander, I (5p) Moduler över ringar, multilinjär algebra, bilinjära och seskvilinjära former, Cliffordalgebror, klassiska grupper, kanoniska former av tensorer (Jordans normalform), kategorier och funktorer, halvenkelhet och grupprepresentationer, Liealgebror Litteratur: S. Lang

10. Books On Homological Algebra
    Books on homological algebra. Hilton and Stammbach, A Course in HomologicalAlgebra (Springer Graduate Texts in Mathematics). This  
    http://www.math.hawaii.edu/~lee/homolog/books-homolog.html
    
    Extractions: This was the nominal text for the course here. I chose it because it was paperbound, and I thought it would be a good reference for students to own. It's a good textbook. This was probably the main model I used for the course. This was the first book on homological algebra I ever read, before I started graduate school. It is one of the most readable texts available, although some of the notation and terminology is now slightly out of date. An excellent reference, and moderately readable. The title is misleading, since no topological aspects of homology are treated at all. This was the book that started the whole subject, of course. I remember how fascinated I was when I first saw it, since it seemed intriguing that one could apply topology to algebra.

11. CT Category Theory
    Section of the eprint arXiv dealing with category theory, including such topics as enriched categories, topoi, abelian categories, monoidal categories, homological algebra.  
    http://front.math.ucdavis.edu/math.CT
    
    Extractions: Authors: AB CDE FGH IJK ... U-Z 18 Mar math.FA/0303186 Very badly approximable matrix functions. V. V. Peller , S. R. Treil . 27 pages. FA CA CO CT ... CV 6 Mar math.KT/0303050 N-Fold Cech Derived Functors and Generalised Hopf type formulas. Guram Donadze , Nick Inassaridze , Timothy Porter . 30 pages. KT CT 5 Mar math.AG/0303037 Derived categories of cubic and V14 threefolds. Alexander Kuznetsov . 24 pages. AG CT 26 Feb math.AG/0302304 Triangulated categories of singularities and D-branes in Landau-Ginzburg models. Dmitri Orlov . 29 pages. AG CT 25 Feb math.AT/0302284

12. Commutative Algebra: Interactions With Homological Algebra And Representation Th
    Calendar. Commutative Algebra Interactions with homological algebraand Representation Theory. February 3, 2003 to February 7, 2003.  
    http://www.msri.org/calendar/workshops/WorkshopInfo/199/show_workshop
    
    Extractions: Organized by: Luchezar Avramov (chair), Ragnar Buchweitz, and John Greenlees Recently, commutative algebra has been developing new connections with a variety of fields, and adding new directions to some traditional links. This interdisciplinary workshop proposes to generate an active exchange of information between practitioners and consumers of commutative algebra. The subjects discussed will include invariant theory, cohomology of groups, free resolutions, rational homotopy, stable homotopy, representation theory, and derived categories.

13. Charles A. Weibel: Home Page
    Rutgers. Algebraic Ktheory, homological algebra. On-line texts and notes in algebra, history; journal information.  
    http://math.rutgers.edu/~weibel/

14. Commutative Algebra: Interactions With Homological Algebra And Representation Th
    Sheafhom is a set of programs I'm developing for homological algebra and algebraic topology.  
    http://zeta.msri.org/calendar/workshops/WorkshopInfo/199/show_workshop
    
    Extractions: Organized by: Luchezar Avramov (chair), Ragnar Buchweitz, and John Greenlees Recently, commutative algebra has been developing new connections with a variety of fields, and adding new directions to some traditional links. This interdisciplinary workshop proposes to generate an active exchange of information between practitioners and consumers of commutative algebra. The subjects discussed will include invariant theory, cohomology of groups, free resolutions, rational homotopy, stable homotopy, representation theory, and derived categories.

15. Homological Algebra Over Cohen-Macaulay Rings
    Calendar. homological algebra over CohenMacaulay rings. Parent Workshop CommutativeAlgebra Interactions with homological algebra and Representation Theory.  
    http://www.msri.org/calendar/talks/TalkInfo/1751/show_talk
    
    Extractions: Mathematical Sciences Research Institute, Berkeley, California In this talk, I will describe several problems (and some solutions) dealing with the vanishing of Tor and Ext over Cohen-Macaulay rings. The talk will discuss some work with Graham Leuschke on rings of finite CM type, as well as work in progress with Graham Leuschke and also Liana Sega and Adela Vraciu. The basic question of the talk is the following: let R be a Cohen-Macaulay local ring and let M and N be finitely generated R-modules. When do all large Tor(M,N) or Ext(M,N) vanish? What do these condition mean? The talk will also focus on the case of a domain R of positive characteristic p over a perfect field, and discuss some known results concerning the decomposition of the p^nth roots of R into indecomposable R-modules. Parent Workshop: Commutative Algebra: Interactions with Homological Algebra and Representation Theory

16. Homological Algebra
    HeisenbergEuler Lagrangian Zeta Function Sums. Diagram from homological algebra(TraditionalForm). Heisenberg-Euler Lagrangian Zeta Function Sums.  
    http://documents.wolfram.com/v4/MainBook/G.1.11.html

17. Wolfram Research, Inc.
    Tour of Features. Key Elements of Mathematica. Upgrades. For More Information. Diagramfrom homological algebra (TraditionalForm), © 2003 Wolfram Research, Inc.  
    http://documents.wolfram.com/v3/MainBook/G.1.11.html

18. The Math Forum - Math Library - Cat. Theory/Homolgcl Alg.
    sites and Web pages relating to the study of mathematics. This pagecontains sites relating to Category Theory/homological algebra.  
    http://mathforum.org/library/topics/category_theory/
    
    Extractions: A short article designed to provide an introduction to category theory, a comparatively new field of mathematics that provides a universal framework for discussing fields of algebra and geometry. While the general theory and certain types of categories have attracted considerable interest, the area of homological algebra has proved most fruitful in areas of ring theory, group theory, and algebraic topology. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>

19. About "A Course In Homological Algebra"
    A Course in homological algebra. Library Home Full Table of Contents Suggesta Link Library Help Math Topics Category Theory/homological algebra.  
    http://mathforum.org/library/view/6845.html
    
    Extractions: Visit this site: http://www.math.hawaii.edu/~lee/homolog/ Author: E. Lee Lady; University of Hawaii Description: A collection of graduate course notes. Files are in PDF and DVI formats. Contents include: tor, flatness, and purity; syzygies, projective dimension and global dimension; Gorenstein rings and modules; Auslander's proof of Roiter's Theorem; and a list of books on homological algebra. Levels: College Languages: English Resource Types: Course Notes Math Topics: Category Theory/Homological Algebra

20. Homological Algebra -- From MathWorld
    Algebra , Named Algebras , Miscellaneous Algebras v. HomologicalAlgebra, Modules are the basic tools used in homological algebra.  
    http://mathworld.wolfram.com/HomologicalAlgebra.html
    
    Extractions: References Enochs, E. E. and Jenda, O. M. G. Relative Homological Algebra. Berlin: de Gruyter, 2000. Hilton, P. and Stammbach, U. A Course in Homological Algebra, 2nd ed. New York: Springer-Verlag, 1997. Weibel, C. A. An Introduction to Homological Algebra. New York: Cambridge University Press, 1994.

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