Abstract Algebra

  • Pierre Antoine Grillet

Part of the Graduate Texts in Mathematics book series (GTM, volume 242)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 1-42
  3. Pages 43-104
  4. Pages 105-154
  5. Pages 156-190
  6. Pages 191-230
  7. Pages 273-314
  8. Pages 315-358
  9. Pages 415-462
  10. Pages 463-514
  11. Pages 515-538
  12. Pages 539-558
  13. Pages 559-580
  14. Pages 581-624
  15. Back Matter
    Pages 625-669

About this book


"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 algebras 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.

From a review of the First Edition:

...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence.

- Werner Kleinert, Zentralblatt



Abstract algebra Galois theory Lattice algebra commutative ring

Authors and affiliations

  • Pierre Antoine Grillet
    • 1
  1. 1.Tulane University10178USA

Bibliographic information