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.

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." (Miklós Bóna, 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)