Description

Book Synopsis
In this text the authors take the reader from the elements of linear algebra past the frontier of homological algebra. They describe different algebraic domains and then emphasize the similarities and differences between them, employing the terminology of categories and functors.

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.

A Course in Modern Algebra

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    A Paperback / softback by Peter Hilton, Yel-Chiang Wu

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      Publisher: John Wiley & Sons Inc
      Publication Date: 19/04/1989
      ISBN13: 9780471504054, 978-0471504054
      ISBN10: 047150405X
      Also in:
      Mathematics

      Description

      Book Synopsis
      In this text the authors take the reader from the elements of linear algebra past the frontier of homological algebra. They describe different algebraic domains and then emphasize the similarities and differences between them, employing the terminology of categories and functors.

      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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