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Introduction to Homological Algebra, 85 (Hardcover)
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Introduction to Homological Algebra, 85 (Hardcover)
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An Introduction to Homological Algebra discusses the origins of
algebraic topology. It also presents the study of homological
algebra as 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. Homological algebra is an accessible
subject to those who wish to learn it, and this book is the
author's attempt to make it lovable. This book comprises 11
chapters, with an introductory chapter that focuses on line
integrals and independence of path, categories and functors, tensor
products, and singular homology. Succeeding chapters discuss Hom
and ?; projectives, injectives, and flats; specific rings;
extensions of groups; homology; Ext; Tor; son of specific rings;
the return of cohomology of groups; and spectral sequences, such as
bicomplexes, Kunneth Theorems, and Grothendieck Spectral Sequences.
This book will be of interest to practitioners in the field of pure
and applied mathematics.
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