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Abstract algebra

Author: Pierre A Grillet
Publisher: New York : Springer, ©2007.
Series: Graduate texts in mathematics, v. 242.
Edition/Format:   Print book : English : 2nd edView all editions and formats
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  Read more...
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Genre/Form: Textbooks
Document Type: Book
All Authors / Contributors: Pierre A Grillet
ISBN: 9780387715674 0387715673 0387715681 9780387715681
OCLC Number: 141380104
Description: xii, 669 pages ; 25 cm.
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.
Series Title: Graduate texts in mathematics, v. 242.
Responsibility: Pierre Antoine Grillet.

Abstract:

This key textbook covers, with proofs, the usual major branches of abstract algebra, with its inclusive approach meaning that all of the necessary areas are explored. This new edition has been  Read more...

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From the reviews of the second edition:"This book certainly has more than enough material for a two-semester algebra course for first-year graduate students. ... The balance among various topics will Read more...

 
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