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Book Cover
E-book
Author Grillet, Pierre A. (Pierre Antoine), 1941-

Title Abstract algebra / Pierre Antoine Grillet
Edition 2nd ed
Published New York : Springer, ©2007

Copies

Description 1 online resource (xii, 669 pages)
Series Graduate texts in mathematics ; v. 242
Graduate texts in mathematics ; v. 242.
Contents Groups -- Structure of groups -- Rings -- Field extensions -- Galois theory -- Fields with orders or valuations -- Commutative rings -- Modules -- Semisimple rings and modules -- Projectives and injectives -- Constructions -- Ext and Tor -- Algebras -- Lattices -- Universal algebra -- Categories
Summary "Abstract Algebra is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebra, and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty." "For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics."--Jacket
Bibliography Includes bibliographical references (pages 645-651) and index
Notes English
Print version record
Subject Algebra, Abstract -- Textbooks
Algebra, Abstract.
Algebra, Abstract
Genre/Form Textbooks
Textbooks.
Form Electronic book
ISBN 9780387715681
0387715681
9780387715674
0387715673