Abstract Algebra (Graduate Texts in Mathematics v. 242 2nd ed. 2007)

Abstract Algebra (Graduate Texts in Mathematics v. 242 2nd ed. 2007)

By: Pierre Antoine Grillet (author)Paperback

2 - 4 weeks availability

Description

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.

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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.

Product Details

  • publication date: 24/07/2007
  • ISBN13: 9780387715674
  • Format: Paperback, Hardback
  • Number Of Pages: 686
  • ID: 9780387715674
  • weight: 1133
  • ISBN10: 0387715673
  • edition: 2nd ed. 2007

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