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book: Modules over Discrete Valuation Domains
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Modules over Discrete Valuation Domains

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Language: English
Published/Copyright: 2008
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De Gruyter Expositions in Mathematics

About this book

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.

Author / Editor information

Piotr A. Krylov , Tomsk State University, Russia; Askar A. Tuganbaev, Russian State University of Trade and Economics, Moscow, Russia.

Reviews

"It is a welcome addition to the literature."
B. Goldsmith in: Mathematical Reviews 2009a

Topics

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    Frontmatter

    I
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    Contents

    V
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    Chapter 1 Preliminaries

    1
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    Chapter 2 Basic facts

    46
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    Chapter 3 Endomorphism rings of divisible and complete modules

    86
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    Chapter 4 Representation of rings by endomorphism rings

    116
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    Chapter 5 Torsion-free modules

    166
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    Chapter 6 Mixed modules

    203
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    Chapter 7 Determinity of modules by their endomorphism rings

    272
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    Chapter 8 Modules with many endomorphisms or automorphisms

    308
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    Backmatter

    333
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
August 27, 2008
eBook ISBN:
9783110205787
Pages and Images/Illustrations in book
Front matter:
9
Main content:
357
https://doi.org/10.1515/9783110205787
eBook ISBN: 9783110205787
Keywords for this book
Algebra: Ring; Module Theory; Discrete Valuation Domain
Audience(s) for this book
Lecturers, Graduate Students; Academic Libraries
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