A Course in Modern Algebra / Edition 1

A Course in Modern Algebra / Edition 1

ISBN-10:
047150405X
ISBN-13:
9780471504054
Pub. Date:
01/18/1989
Publisher:
Wiley

Paperback

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Overview

A Course in Modern Algebra / Edition 1

This classic work is now available in an unabridged paperback edition. Hilton and Wu's unique approach brings the reader from the elements of linear algebra past the frontier of homological algebra. They describe a number of different algebraic domains, then emphasize the similarities and differences between them, employing the terminology of categories and functors. Exposition begins with set theory and group theory, and continues with coverage categories, functors, natural transformations, and duality, and closes with discussion of the two most fundamental derived functors of homological algebra, Ext and Tor.

Product Details

ISBN-13: 9780471504054
Publisher: Wiley
Publication date: 01/18/1989
Series: Wiley Classics Library Series , #12
Edition description: Reprint
Pages: 264
Product dimensions: 5.79(w) x 8.90(h) x 0.55(d)

Table of Contents

Partial table of contents:

GROUPS.

Cosets, Lagrange's Theorem, and Normal Subgroups.

Direct and Free Products.

ABELIAN GROUPS.

Special Features of Commutative Groups.

Exact Sequences of Abelian Groups.

CATEGORIES AND FUNCTORS.

Natural Transformations.

Duality Principle.

Adjoint Functors.

MODULES.

Rings.

The Functor Hom.

INTEGRAL DOMAINS.

SEMI-SIMPLE RINGS.

The Morita Theorem.

THE FUNCTORS EXT AND TOR.

List of Symbols.

Bibliography.

Index.

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