Modules over Discrete Valuation Domains

Piotr A. Krylov; Askar A. Tuganbaev

Published by De Gruyter 2008

Modules over Discrete Valuation Domains

Piotr A. Krylov and Askar A. Tuganbaev

Volume 43 in the series De Gruyter Expositions in Mathematics

https://doi.org/10.1515/9783110205787

Overview
Contents

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

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	I
Contents Requires Authentication Unlicensed Licensed Download PDF	V
Chapter 1 Preliminaries Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2 Basic facts Requires Authentication Unlicensed Licensed Download PDF	46
Chapter 3 Endomorphism rings of divisible and complete modules Requires Authentication Unlicensed Licensed Download PDF	86
Chapter 4 Representation of rings by endomorphism rings Requires Authentication Unlicensed Licensed Download PDF	116
Chapter 5 Torsion-free modules Requires Authentication Unlicensed Licensed Download PDF	166
Chapter 6 Mixed modules Requires Authentication Unlicensed Licensed Download PDF	203
Chapter 7 Determinity of modules by their endomorphism rings Requires Authentication Unlicensed Licensed Download PDF	272
Chapter 8 Modules with many endomorphisms or automorphisms Requires Authentication Unlicensed Licensed Download PDF	308
Backmatter Requires Authentication Unlicensed Licensed Download PDF	333

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Lecturers, Graduate Students; Academic Libraries
Pages
- Front matter: 9
- Main content: 357
Keywords: Algebra: Ring; Module Theory; Discrete Valuation Domain

eBook

Published: August 27, 2008
ISBN: 9783110205787