Krylov / Tuganbaev Modules over Discrete Valuation Domains

1. Auflage 2008
ISBN: 978-3-11-020578-7
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 43, 366 Seiten

Reihe: De Gruyter Expositions in MathematicsISSN

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.
  

Zielgruppe

Lecturers, Graduate Students; Academic Libraries

Autoren/Hrsg.

Krylov, Piotr A.

Tuganbaev, Askar A.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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

Über Autor(innen)

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