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  3. Basic Abstract Algebra
  • Cited by 22
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2012
      November 1994
      ISBN:
      9781139174237
      9780521460811
      9780521466295
      DOI:
      https://doi.org/10.1017/CBO9781139174237
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.825kg, 508 Pages
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.82kg, 508 Pages
      • Subjects:
      Mathematics, Algebra
    You may already have access via personal or institutional login
    • Selected: Digital
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    Subjects:
    Mathematics, Algebra
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    Book description

    This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. The book contains many examples fully worked out and a variety of problems for practice and challenge. Solutions to the odd-numbered problems are provided at the end of the book. This new edition contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker–Noether theorem. In addition, there are over 100 new problems and examples, particularly aimed at relating abstract concepts to concrete situations.

    Reviews

    "...a thorough and surprisingly clean-cut survey of the group/ring/field troika which manages to convey the idea of algebra as a unified enterprise." Ian Stewart, New Scientist

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    Contents

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