Modules over Discrete Valuation Rings: 43 (De Gruyter Expositions in Mathematics, 43) - Hardcover

Book 71 of 95: De Gruyter Expositions in Mathematics

Krylov; Piotr A.; Tuganbaev; Askar A.

 
9783110609776: Modules over Discrete Valuation Rings: 43 (De Gruyter Expositions in Mathematics, 43)

Synopsis

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

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About the Author

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

"About this title" may belong to another edition of this title.