Krylov / Tuganbaev Modules over Discrete Valuation Rings

2., revidierte and ext
ISBN: 978-3-11-061114-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 43, 337 Seiten

Reihe: De Gruyter Expositions in MathematicsISSN

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. ContentsPreliminariesBasic factsEndomorphism rings of divisible and complete modulesRepresentation of rings by endomorphism ringsTorsion-free modulesMixed modulesDeterminity of modules by their endomorphism ringsModules with many endomorphisms or automorphisms

Zielgruppe

Researchers and graduate students in mathematics.

Autoren/Hrsg.

Krylov, Piotr A.

Tuganbaev, Askar A.

Über Autor(innen)

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