Description

Book Synopsis

This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group.

Contents
Preliminaries
Basic facts
Endomorphism rings of divisible and complete modules
Representation of rings by endomorphism rings
Torsion-free modules
Mixed modules
Determinity of modules by their endomorphism rings
Modules with many endomorphisms or automorphisms

Modules over Discrete Valuation Rings

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    A Hardback by Piotr A. Krylov, Askar A. Tuganbaev

    15 in stock

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      View other formats and editions of Modules over Discrete Valuation Rings by Piotr A. Krylov

      Publisher: De Gruyter
      Publication Date: Publication Date: 24/09/2018
      ISBN13: 9783110609776, 978-3110609776
      ISBN10:

      Description

      Book Synopsis

      This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group.

      Contents
      Preliminaries
      Basic facts
      Endomorphism rings of divisible and complete modules
      Representation of rings by endomorphism rings
      Torsion-free modules
      Mixed modules
      Determinity of modules by their endomorphism rings
      Modules with many endomorphisms or automorphisms

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