Peter Hilton, Yel-Chiang Wu

A Course in Modern Algebra

• Broschiertes Buch

Produktbeschreibung

Contents: Prerequisite Set Theory; Chapter 1. Groups; 2. Abelian Groups; 3. Categories and Functors; 4. Modules; 5. Integral Domains; 6. Semisimple Rings; 7. The Functors Ext and Tor. List of Symbols and Bibliography. Index.

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Produktdetails

• Verlag: Wiley
• Revised edition
• Seitenzahl: 264
• Erscheinungstermin: 18. Januar 1989
• Englisch
• Abmessung: 229mm x 152mm x 16mm
• Gewicht: 434g
• ISBN-13: 9780471504054
• ISBN-10: 047150405X
• Artikelnr.: 21098041

Autorenporträt

Peter John Hilton was a British mathematician, noted for his contributions to homotopy theory and for code-breaking during the Second World War. Yel-Chiang Wu is the author of A Course in Modern Algebra, published by Wiley.

Inhaltsangabe

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.