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Ideal Theory

Part of Cambridge Tracts in Mathematics

  • Date Published: August 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521604833

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  • Ideal theory is important not only for the intrinsic interest and purity of its logical structure but because it is a necessary tool in many branches of mathematics. In this introduction to the modern theory of ideals, Professor Northcott assumes a sound background of mathematical theory but no previous knowledge of modern algebra. After a discussion of elementary ring theory, he deals with the properties of Noetherian rings and the algebraic and analytical theories of local rings. In order to give some idea of deeper applications of this theory the author has woven into the connected algebraic theory those results which play outstanding roles in the geometric applications.

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    Product details

    • Date Published: August 2004
    • format: Paperback
    • isbn: 9780521604833
    • length: 120 pages
    • dimensions: 213 x 166 x 8 mm
    • weight: 0.17kg
    • availability: Available
  • Table of Contents

    Author's preface
    Preliminaries
    1. The primary decomposition
    2. Residue rings and rings of quotients
    3. Some fundamental properties of noetherian rings
    4. The algebraic theory of local rings
    5. The analytic theory of local rings
    Notes
    References
    Index of definitions.

  • Author

    D. G. Northcott

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