Krylov / Tuganbaev Modules over Discrete Valuation Rings

2., revidierte and ext
ISBN: 978-3-11-060985-1
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, Band 43, 337 Seiten

Reihe: De Gruyter Expositions in Mathematics

This book provides the first systematic treatment of modules over discrete valuation domains, which play 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 along with interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group.

Contents
Preliminaries
Basic facts
Endomorphism rings of divisible and complete modules
Representation of rings by endomorphism rings
Torsion-free modules
Mixed modules
Determinity of modules by their endomorphism rings
Modules with many endomorphisms or automorphisms

Zielgruppe

Researchers and graduate students in mathematics.

Autoren/Hrsg.

Krylov, Piotr A.

Tuganbaev, Askar A.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Über Autor(innen)

Piotr A. Krylov, Tomsk State University, Russia; Askar A. Tuganbaev, National Research University MPEI, Russia.