ENGLISH

Basic Homological Algebra

By M. Scott Osborne (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2000
ISBN
038798934X, 9780387989341
DOI
10.1007/978-1-4612-1278-2
Open Library ID
OL7449875M
Language
english
Format
DJVU
Filesize
7 MB (6876531 bytes)
Series
Graduate Texts in Mathematics 196
Edition
1
Pages
398\408
Topic
Mathematics Algebra
Time added
2010-05-31 15:29:46
K-Theory

Description

Five years ago, I taught a one-quarter course in homological algebra. I discovered that there was no book which was really suitable as a text for such a short course, so I decided to write one. The point was to cover both Ext and Tor early, and still have enough material for a larger course (one semester or two quarters) going off in any of several possible directions. This book is 'also intended to be readable enough for independent study. The core of the subject is covered in Chapters 1 through 3 and the first two sections ofChapter 4. At that point there are several options. Chapters 4 and 5 cover the more traditional aspects of dimension and ring changes. Chapters 6 and 7 cover derived functors in general. Chapter 8 focuses on a special property of Tor. These three groupings are independent, as are various sections from Chapter 9, which is intended as a source of special topics. (The prerequisites for each section of Chapter 9 are stated at the beginning.) Some things have been included simply because they are hard to find else­ where, and they naturally fit into the discussion. Lazard's theorem (Section 8.4)-is an example; Sections4,5, and 7ofChapter 9 containother examples, as do the appendices at the end.

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