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Modules over discrete valuation domains / by Piotr A. Krylov and Askar A. Tuganbaev.
- Format:
- Book
- Author/Creator:
- Krylov, Piotr A.
- Series:
- De Gruyter expositions in mathematics ; 43.
- De Gruyter expositions in mathematics ; 43
- Language:
- English
- Subjects (All):
- Modules (Algebra).
- Commutative algebra.
- Physical Description:
- 1 online resource (368 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Berlin ; New York : de Gruyter, c2008.
- Language Note:
- English
- 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.
- 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
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 9786612196546
- 9781282196544
- 1282196545
- 9783110205787
- 3110205785
- OCLC:
- 476197233
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