A Course in Modern Algebra
Published on 19. April 1989
Book
Paperback/Softback
264 pages
978-0-471-50405-4 (ISBN)
Description
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.
More details
Series
Edition
Revised edition
Language
English
Place of publication
United States
Publishing group
John Wiley & Sons Inc
Target group
College/higher education
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 16 mm
Weight
434 gr
ISBN-13
978-0-471-50405-4 (9780471504054)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
P. J. Hilton | Yel-chiang Wu
A Course in Modern Algebra
Book
05/1974
Wiley
€55.71
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Persons
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.
Content
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.
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.