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Abstract Algebra Pierre Antoine Grillet

Abstract Algebra By Pierre Antoine Grillet

Abstract Algebra by Pierre Antoine Grillet


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Summary

A completely reworked new edition of this superb textbook. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.

Abstract Algebra Summary

Abstract Algebra by Pierre Antoine Grillet

A completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.

Abstract Algebra Reviews

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 please some instructors more than others. (Miklos Bona, MathDL, September, 2007)

The book under review is the second edition of the author's sweeping text originally titled 'Algebra' ... . All together, the second edition of P. A. Grillet's standard primer is a masterly, clearly written, comprehensive and self-contained algebra text for graduate students, with a plentiful supply of additional advanced material ... . Moreover, the book under review, in its didactically oriented disposition, represents an excellent source for teachers and instructors of graduate courses in abstract algebra as well. (Werner Kleinert, Zentralblatt MATH, Vol. 1122 (24), 2007)

Table of 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.

Additional information

NPB9780387715674
9780387715674
0387715673
Abstract Algebra by Pierre Antoine Grillet
New
Hardback
Springer-Verlag New York Inc.
2007-07-24
674
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Abstract Algebra