Basic Homological Algebra

By: M. Scott Osborne

Write A Review

Hardcover | 1 June 2000

At a Glance

Hardcover
416 Pages

Dimensions(cm)
23.39 x 15.6 x 2.39

Hardcover

$157.57

or 4 interest-free payments of $39.39 with

or

Aims to ship in 7 to 10 business days

This book is intended for one-quarter or one semester-courses in homological algebra. The aim is to cover Ext and Tor early and without distraction. It includes several further topics, which can be pursued independently of each other. Many of these, such as Lazard's theorem, long exact sequences in Abelian categories with no cheating, or the relation between Krull dimension and global dimension, are hard to find elsewhere. The intended audience is second or third year graduate students in algebra, algebraic topology, or any other field that uses homological algebra.

Industry Reviews

"The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. ... I especially appreciated the lively style of the book; compared with some other books on homological algebra, one has here the good feeling that one understands why a notion is defined in this way, that one can easily remember at least the structure of the theory, and that one is quickly able to find necessary details. The prerequisite for this book is a graduate course on algebra, but one get quite far with a modest knowledge of algebra. The book can be strongly recommended as a textbook for a course on homological algebra."
EMS Newsletter, June 2001

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Algebra

Algebraic Number Theory and Fermat's Last Theorem - Ian Stewart

$29.35

32%
OFF

$Basic Math & Pre-Algebra For Dummies Book + Workbook Bundle : For Dummies Math & Science - Mark Zegarelli$

Basic Math & Pre-Algebra For Dummies Book + Workbook Bundle

For Dummies Math & Science

Paperback

RRP $49.95

$33.95

32%
OFF

Practical Linear Algebra for Data Science

From Core Concepts to Applications Using Python

Paperback

RRP $121.75

$53.75

56%
OFF

A Mind for Numbers

How to Excel at Math and Science (Even If You Flunked Algebra)

Paperback

RRP $34.99

$31.75

The Cartoon Guide to Algebra

Cartoon Guides

Paperback

RRP $33.00

$32.25

Student Solutions Manual to accompany Elementary Linear Algebra, Applications version, 11e

Paperback

RRP $152.95

$135.75

11%
OFF

FIRST LOOK AT RIGOROUS PROB..(2ND ED)

Second Edition

Paperback

RRP $59.99

$49.80

17%
OFF

Developing Thinking in Algebra

Published in association with The Open University

Paperback

RRP $92.40

$51.90

44%
OFF

$LEC NOTE MATH OLYM : JNR SEC (V2) - XU JIAGU$

LEC NOTE MATH OLYM

JNR SEC (V2)

Paperback

RRP $45.99

$43.75

$2ND STEP MATH OLYMPIAD PROB(V7) : Mathematical Olympiad - DEREK HOLTON$

2ND STEP MATH OLYMPIAD PROB(V7)

Mathematical Olympiad

Paperback

RRP $68.99

$43.95

36%
OFF

Prealgebra: An Applied Approach

6th Edition

Paperback

RRP $204.95

$163.25

20%
OFF

$Basic Math & Pre-Algebra For Dummies : 2nd edition - Mark Zegarelli$

Basic Math & Pre-Algebra For Dummies

2nd edition

Paperback

RRP $41.95

$32.50

23%
OFF

Single Variable Calculus 4ed

Concepts and Contexts, Enhanced Edition

Hardcover

RRP $227.95

$206.90

Prealgebra

6th Edition

Paperback

RRP $192.95

$183.75

Fundamentals of Linear Algebra for Signal Processing - James Reilly

$177.25

16%
OFF

Preface
Categories	p. 1
Modules	p. 11
Generalities	p. 11
Tensor Products	p. 14
Exactness of Functors	p. 22
Projectives, Injectives, and Flats	p. 28
Ext and Tor	p. 39
Complexes and Projective Resolutions	p. 39
Long Exact Sequences	p. 47
Flat Resolutions and Injective Resolutions	p. 55
Consequences	p. 66
Dimension Theory	p. 73
Dimension Shifting	p. 73
When Flats are Projective	p. 79
Dimension Zero	p. 82
Change of Rings	p. 99
Computational Considerations	p. 99
Matrix Rings	p. 104
Polynomials	p. 106
Quotients and Localization	p. 110
Derived Functors	p. 123
Additive Functors	p. 123
Derived Functors	p. 126
Long Exact Sequences - I. Existence	p. 130
Long Exact Sequences - II. Naturality	p. 140
Long Exact Sequences - III. Weirdness	p. 147
Universality of Ext	p. 151
Abstract Homological Algebra	p. 165
Living Without Elements	p. 165
Additive Categories	p. 169
Kernels and Cokernels	p. 173
Cheating with Projectives	p. 186
(Interlude) Arrow Categories	p. 202
Homology in Abelian Categories	p. 213
Long Exact Sequences	p. 225
An Alternative for Unbalanced Categories	p. 239
Colimits and Tor	p. 257
Limits and Colimits	p. 257
Adjoint Functors	p. 264
Directed Colimits, [actual symbol not reproducible], and Tor	p. 270
Lazard's Theorem	p. 274
Weak Dimension Revisited	p. 280
Odds and Ends	p. 285
Injective Envelopes	p. 285
Universal Coefficients	p. 290
The Kunneth Theorems	p. 296
Do Connecting Homomorphisms Commute?	p. 309
The Ext Product	p. 318
The Jacobson Radical, Nakayama's Lemma and Quasilocal Rings	p. 324
Local Rings and Localization Revisited (Expository)	p. 331
GCDs, LCMs, PIDs, and UFDs	p. 337
The Ring of Entire Functions	p. 345
The Mitchell-Freyd Theorem and Cheating in Abelian Categories	p. 359
Noether Correspondences in Abelian Categories	p. 363
Solution Outlines	p. 373
References	p. 383
Symbol Index	p. 389
Index	p. 391
Table of Contents provided by Blackwell. All Rights Reserved.

Basic Homological Algebra

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Algebra

Algebraic Number Theory and Fermat's Last Theorem

Algebraic Number Theory and Fermat's Last Theorem

The Maths Book

Big Ideas Simply Explained

Basic Math & Pre-Algebra For Dummies Book + Workbook Bundle

For Dummies Math & Science

Practical Linear Algebra for Data Science

From Core Concepts to Applications Using Python

A Mind for Numbers

How to Excel at Math and Science (Even If You Flunked Algebra)

The Cartoon Guide to Algebra

Cartoon Guides

Student Solutions Manual to accompany Elementary Linear Algebra, Applications version, 11e

FIRST LOOK AT RIGOROUS PROB..(2ND ED)

Second Edition

Developing Thinking in Algebra

Published in association with The Open University

LEC NOTE MATH OLYM

JNR SEC (V2)

2ND STEP MATH OLYMPIAD PROB(V7)

Mathematical Olympiad

Prealgebra: An Applied Approach

6th Edition

Basic Math & Pre-Algebra For Dummies

2nd edition

Single Variable Calculus 4ed

Concepts and Contexts, Enhanced Edition

Prealgebra

6th Edition

Fundamentals of Linear Algebra for Signal Processing

The Mathematical and Philosophical Legacy of Alexander Grothendieck

Chapman Mathematical Notes

Category and Measure

Infinite Combinatorics, Topology and Groups

Two-Dimensional Self and Product Cubic Systems, Vol. I

Self-Linear and Crossing-Quadratic Product Vector Field

Completely Regular Semigroup Varieties

Applications and Advanced Techniques

Two-dimensional Self and Product Cubic Systems, Vol. II

The Computer Algebra System Oscar

Algorithms and Examples

An Introduction to Module Theory

Oxford Graduate Texts in Mathematics

This product is categorised by

Popular Searches