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1. An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) by Charles A. Weibel | |
Paperback: 468
Pages
(1995-10-27)
list price: US$50.00 -- used & new: US$40.00 (price subject to change: see help) Asin: 0521559871 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
Review of homological algebra - Weibel
Excellent Text
Long Live the Homoligarchy!
Deeeep!
Great homological algebra book! |
2. An Introduction to Homological Algebra (Universitext) by Joseph J. Rotman | |
Paperback: 710
Pages
(2008-10-14)
list price: US$49.95 -- used & new: US$38.80 (price subject to change: see help) Asin: 0387245278 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description With a wealth of examples as well as abundant applications to algebra, this is a must-read work: an easy-to-follow, step-by-step guide to homological algebra. The author provides a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this brand new edition the text has been fully updated and revised throughout and new material on sheaves and abelian categories has been added. Applications include the following: * to rings -- Lazard's theorem that flat modules are direct limits of free modules, Hilbert's Syzygy Theorem, Quillen-Suslin's solution of Serre's problem about projectives over polynomial rings, Serre-Auslander-Buchsbaum characterization of regular local rings (and a sketch of unique factorization); * to groups -- Schur-Zassenhaus, Gaschutz's theorem on outer automorphisms of finite p-groups, Schur multiplier, cotorsion groups; * to sheaves -- sheaf cohomology, Cech cohomology, discussion of Riemann-Roch Theorem over compact Riemann surfaces. Learning homological algebra is a two-stage affair. Firstly, one must learn the language of Ext and Tor, and what this describes. Secondly, one must be able to compute these things using a separate language: that of spectral sequences. The basic properties of spectral sequences are developed using exact couples. All is done in the context of bicomplexes, for almost all applications of spectral sequences involve indices. Applications include Grothendieck spectral sequences, change of rings, Lyndon-Hochschild-Serre sequence, and theorems of Leray and Cartan computing sheaf cohomology. Customer Reviews (1)
Publish or perish... but at least proofread the thing! |
3. A Course in Homological Algebra (Graduate Texts in Mathematics) by Peter J. Hilton, U. Stammbach | |
Hardcover: 384
Pages
(1997-01-17)
list price: US$89.95 -- used & new: US$49.00 (price subject to change: see help) Asin: 0387948236 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Buying madness
Good overview of the subject |
4. An Elementary Approach to Homological Algebra (Monographs and Surveys in Pure and Applied Math) by L.R. Vermani | |
Hardcover: 328
Pages
(2003-05-28)
list price: US$129.95 -- used & new: US$87.71 (price subject to change: see help) Asin: 1584884002 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Maybe not Elementary |
5. Basic Homological Algebra (Graduate Texts in Mathematics) by M. Scott Osborne | |
Hardcover: 395
Pages
(2000-05-19)
list price: US$89.95 -- used & new: US$19.00 (price subject to change: see help) Asin: 038798934X Canada | United Kingdom | Germany | France | Japan | |
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6. Homological Algebra (PMS-19) by Henri Cartan, Samuel Eilenberg | |
Paperback: 408
Pages
(1999-11-29)
list price: US$72.50 -- used & new: US$58.99 (price subject to change: see help) Asin: 0691049912 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The starting point is the notion of a module over a ring. The primary operations are the tensor product of two modules and the groups of all homomorphisms of one module into another. From these, "higher order" derived of operations are obtained, which enjoy all the properties usually attributed to homology theories. This leads in a natural way to the study of "functors" and of their "derived functors." This mathematical masterpiece will appeal to all mathematicians working in algebraic topology. Customer Reviews (3)
Old - Antiquated
A landmark, that's it.
H. Cartan and S. Eilenberg are the authors |
7. Homological Algebra by S.I. Gelfand, Yu.I. Manin | |
Paperback: 222
Pages
(1999-06-22)
list price: US$69.95 Isbn: 3540653783 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
8. Methods of Homological Algebra (Springer Monographs in Mathematics) by Sergei I. Gelfand, Yuri I. Manin | |
Paperback: 370
Pages
(2010-11-02)
list price: US$119.00 -- used & new: US$94.89 (price subject to change: see help) Asin: 3642078133 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This modern approach to homological algebra by two leading writers in the field is based on the systematic use of the language and ideas of derived categories and derived functors. It describes relations with standard cohomology theory and provides complete proofs. Coverage also presents basic concepts and results of homotopical algebra. This second edition contains numerous corrections. Customer Reviews (1)
A brilliant work of mathematics |
9. Algebras, Rings and Modules: Volume 2 (Mathematics and Its Applications) by Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko | |
Paperback: 400
Pages
(2010-11-02)
list price: US$169.00 -- used & new: US$169.00 (price subject to change: see help) Asin: 9048172926 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This second volume of this text covers the classical aspects of the theory of groups and their representations. It also offers a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. It reviews key recent developments in the theory of special ring classes including Frobenius, quasi-Frobenius, and others. |
10. Abelian Groups, Rings, Modules, and Homological Algebra (Lecture Notes in Pure and Applied Mathematics) | |
Hardcover: 360
Pages
(2006-01-27)
list price: US$194.95 -- used & new: US$173.04 (price subject to change: see help) Asin: 1584885521 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
11. Notes on Homological Algebra (Mathematics Studies) by Joseph J. Rotman | |
Paperback: 200
Pages
(1971-06-17)
Isbn: 0442270607 Canada | United Kingdom | Germany | France | Japan | |
12. Commutative Algebra: Geometric, Homological, Combinatorial and Computational Aspects (Lecture Notes in Pure and Applied Mathematics) | |
Paperback: 284
Pages
(2005-08-15)
list price: US$173.95 -- used & new: US$104.00 (price subject to change: see help) Asin: 082472335X Canada | United Kingdom | Germany | France | Japan | |
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13. K-theory and Homological Algebra: A Seminar Held at the Razmadze Mathematical Institute in Tbilisi, Georgia, USSR 1987-88 (Lecture Notes in Mathematics) | |
Paperback: 313
Pages
(1990-10-18)
list price: US$46.00 -- used & new: US$36.49 (price subject to change: see help) Asin: 3540528369 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
14. 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 | |
Unknown Binding: 122
Pages
(1975)
Isbn: 0387071598 Canada | United Kingdom | Germany | France | Japan | |
15. Homological Questions in Local Algebra (London Mathematical Society Lecture Note Series) by Jan R. Strooker | |
Paperback: 324
Pages
(1990-09-28)
list price: US$90.00 -- used & new: US$77.31 (price subject to change: see help) Asin: 0521315263 Canada | United Kingdom | Germany | France | Japan | |
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16. Non-Abelian Homological Algebra and Its Applications (Mathematics and Its Applications) by Hvedri Inassaridze | |
Paperback: 272
Pages
(2010-11-02)
list price: US$210.00 -- used & new: US$189.00 (price subject to change: see help) Asin: 9048148995 Canada | United Kingdom | Germany | France | Japan | |
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17. Lectures in Homological Algebra (Cbms Regional Conference Series in Mathematics) by Peter Hilton | |
Paperback: 74
Pages
(2005-10-06)
list price: US$19.00 -- used & new: US$18.99 (price subject to change: see help) Asin: 0821838725 Canada | United Kingdom | Germany | France | Japan | |
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18. An Introduction to Homological Algebra by Northcott | |
Paperback: 300
Pages
(2009-01-08)
list price: US$36.99 -- used & new: US$30.77 (price subject to change: see help) Asin: 0521097932 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
still one of the best
Avoid this book by this author like the plague! |
19. Introduction to Categories, Homological Algebra and Sheaf Cohomology by J. R. Strooker | |
Paperback: 260
Pages
(2009-01-11)
list price: US$34.99 -- used & new: US$28.93 (price subject to change: see help) Asin: 0521095255 Canada | United Kingdom | Germany | France | Japan | |
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20. A First Course of Homological Algebra by D. G. Northcott | |
Paperback: 220
Pages
(1980-08-31)
list price: US$29.99 -- used & new: US$24.24 (price subject to change: see help) Asin: 0521299764 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Every algebraist's shelf needs one |
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