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The Algebraic Theory of Modular Systems

The Algebraic Theory of Modular Systems

$39.99 (P)

Part of Cambridge Mathematical Library

  • Date Published: April 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521455626

$ 39.99 (P)
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  • Many of the ideas introduced by F.S. Macaulay in this classic book have developed into central concepts in what has become the branch of mathematics known as Commutative Algebra. Today his name is remembered through the term "Cohen-Macaulay ring," however, it is less well known that he pioneered several other fundamental ideas, including the concept of the Gorenstein ring and the use of injective modules, ideas that were not systematically developed until considerably later in this century. In this reissue, an introduction by Professor Paul Roberts describes the influence of Macaulay's ideas on recent developments in the subject as well as other changes in the field since then. The background to Macaulay's thinking is discussed, and the development of modern theory is outlined.

    • Macaulays work was ground-breaking in its day
    • There has been a resurgence of interest in the work Macaulay was doing
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    Reviews & endorsements

    "...a landmark in the development of commutative algebra as a separate field..." P. Schenzel, Mathematical Reviews

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    Product details

    • Date Published: April 1994
    • format: Paperback
    • isbn: 9780521455626
    • length: 146 pages
    • dimensions: 228 x 151 x 9 mm
    • weight: 0.22kg
    • availability: Available
  • Table of Contents

    Introduction
    1. The resultant
    2. The resolvent
    3. General properties of modules
    4. The inverse system.

  • Author

    F. S. Macaulay

    Introduction by

    Paul L. Roberts

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