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Modules over discrete valuation domains / by Piotr A. Krylov and Askar A. Tuganbaev.

By: Contributor(s): Material type: TextTextSeries: De Gruyter expositions in mathematics ; 43.Publication details: Berlin ; New York : De Gruyter, ©2008.Description: 1 online resource (ix, 357 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110205787
  • 3110205785
  • 1282196545
  • 9781282196544
  • 9786612196546
  • 6612196548
Subject(s): Genre/Form: Additional physical formats: Print version:: Modules over discrete valuation domains.DDC classification:
  • 512/.42 22
LOC classification:
  • QA247.3 .K79 2008eb
Other classification:
  • SK 230
  • 510
Online resources:
Contents:
Frontmatter; Contents; Chapter 1 Preliminaries; Chapter 2 Basic facts; Chapter 3 Endomorphism rings of divisible and complete modules; Chapter 4 Representation of rings by endomorphism rings; Chapter 5 Torsion-free modules; Chapter 6 Mixed modules; Chapter 7 Determinity of modules by their endomorphism rings; Chapter 8 Modules with many endomorphisms or automorphisms; Backmatter.
Summary: This book provides the first systematic treatment of modules over discrete valuation domains which plays 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 which is supplemented by exercises and interesting open problems. An important contribution to commutative algebra.
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Includes bibliographical references and index.

Frontmatter; Contents; Chapter 1 Preliminaries; Chapter 2 Basic facts; Chapter 3 Endomorphism rings of divisible and complete modules; Chapter 4 Representation of rings by endomorphism rings; Chapter 5 Torsion-free modules; Chapter 6 Mixed modules; Chapter 7 Determinity of modules by their endomorphism rings; Chapter 8 Modules with many endomorphisms or automorphisms; Backmatter.

This book provides the first systematic treatment of modules over discrete valuation domains which plays 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 which is supplemented by exercises and interesting open problems. An important contribution to commutative algebra.

Print version record.

In English.

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