Introduction to Homological Algebra

Name: Introduction to Homological Algebra
Availability: InStock
ISBN: 9780387245270

ISBN-10: 0387245278

ISBN-13: 9780387245270

Edition: 2nd 2009

Authors: Joseph J. Rotman

List price: $69.99

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Sell

Get cash fast!

Buy new: $59.92

Rent eBooks

120 day rental: $42.00 Expiration date: 8/17/2024

Marketplace

2 new & used from $69.83

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

Description:

Learning homological algebra is a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and, often, this involves yet another language: spectral sequences. This book gives a treatment of homological algebra which motivates the subject in terms of its origins in algebraic topology. In this new edition the book has been updated and revised throughout and new material on sheaves and cup products has been added. The author also included material about homotopical algebra, alias K-theory, contrasting it with homological algebra.

Book details

List price: $69.99
Edition: 2nd
Copyright year: 2009
Publisher: Springer New York
Publication date: 10/14/2008
Binding: Paperback
Pages: 710
Size: 6.10" wide x 9.25" long x 1.50" tall
Weight: 2.2
Language: English



Preface to the Second Edition


How to Read This Book



Introduction



Simplicial Homology



Categories and Functors



Singular Homology



Hom and Tensor



Modules



Tensor Products



Adjoint Isomorphisms



Special Modules



Projective Modules



Injective Modules



Flat Modules



Purity



Specific Rings



Semisimple Rings



von Neumann Regular Rings



Hereditary and Dedekind Rings



Semihereditary and Prufer Rings



Quasi-Frobenius Rings



Semiperfect Rings



Localization



Polynomial Rings



Setting the Stage



Categorical Constructions



Limits



Adjoint Functor Theorem for Modules



Sheaves



Manifolds



Sheaf Constructions



Abelian Categories



Complexes



Homology



Homology Functors



Derived Functors



Left Derived Functors



Axioms



Covariant Right Derived Functors



Contravariant Right Derived Functors



Sheaf Cohomology



Cech Cohomology



Riemann-Roch Theorem



Tor and Ext



Tor



Domains



Localization



Ext



Baer Sum



Cotorsion Groups



Universal Coefficients



Homology and Rings



Dimensions of Rings



Hilbert's Syzygy Theorem



Stably Free Modules



Commutative Noetherian Local Rings



Homology and Groups



Group Extensions



Semidirect Products



General Extensions and Cohomology



Stabilizing Automorphisms



Group Cohomology



Bar Resolutions



Group Homology



Schur Multiplier



Change of Groups



Restriction and Inflation



Transfer



Tate Groups



Outer Automorphisms of p-Groups



Cohomological Dimension



Division Rings and Brauer Groups



Spectral Sequences



Bicomplexes



Filtrations and Exact Couples



Convergence



Homology of the Total Complex



Cartan-Eilenberg Resolutions



Grothendieck Spectral Sequences



Groups



Rings



Sheaves



Kunneth Theorems


References


Special Notation


Index