Description

Book Synopsis
In this introduction to the modern theory of ideals, Professor Northcott first discusses 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.

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.

Ideal Theory

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    A Paperback by D. G. Northcott

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      Book details

      Publisher Cambridge University Press
      Published 6 March 2004
      ISBN-13 9780521604833
      978-0521604833
      ISBN-10 0521604834
      Also in:
      Algebra

      Description

      Book Synopsis
      In this introduction to the modern theory of ideals, Professor Northcott first discusses 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.

      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.

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