Modules Over Valuation Rings

Author : Piotr A. Krylov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110609851
Total Pages : 337 pages
Book Rating : 4.51/5 ( download)

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Download or read book Modules over Discrete Valuation Rings written by Piotr A. Krylov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-09-24 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Piotr A. Krylov
Publisher : Walter de Gruyter
ISBN 13 : 3110205785
Total Pages : 369 pages
Book Rating : 4.87/5 ( download)

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Download or read book Modules over Discrete Valuation Domains written by Piotr A. Krylov and published by Walter de Gruyter. This book was released on 2008-08-27 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : László Fuchs
Publisher : CRC Press
ISBN 13 : 9780824773267
Total Pages : 340 pages
Book Rating : 4.68/5 ( download)

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Download or read book Modules over Valuation Rings written by László Fuchs and published by CRC Press. This book was released on 1985-03-27 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book initiates a systematic, in-depth study of Modules Over Valuation Domains. It introduces the theory of modules over commutative domains without finiteness conditions and examines frontiers of current research in modules over valuation domains. It represents a unique effort to combine ideas from abelian group theory, in a large scale, with powerful techniques developed in module theory. This volume surveys the background material on valuation rings, modules and homological algebra ... features new results for important classes of modules such as finitely generated, divisible, pure-injective, and projective dimension one -- never published before ... contains exercises and research problems -- offering guidance for independent and creative study ... and provides historical notes, comments, and an extensive bibliography. Mathematicians and advanced graduate-level mathematics students interested in module theory, abelian group theory, and commutative ring theory can stay abreast of the latest advances with Modules Over Valuation Domains. Book jacket.

Author : Chang Mo Bang
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.93/5 ( download)

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Download or read book Modules Over Complete Discrete Valuation Rings written by Chang Mo Bang and published by . This book was released on 1969 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Piotr A. Krylov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110611147
Total Pages : 337 pages
Book Rating : 4.44/5 ( download)

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Download or read book Modules over Discrete Valuation Rings written by Piotr A. Krylov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-09-24 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Sharon Cutler Ross
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.69/5 ( download)

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Download or read book A Classification of Modules Over Discrete Valuation Rings written by Sharon Cutler Ross and published by . This book was released on 1976 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Craig Huneke
Publisher : Cambridge University Press
ISBN 13 : 0521688604
Total Pages : 446 pages
Book Rating : 4.04/5 ( download)

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Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.

Author : Irving Kaplansky
Publisher : Springer Science & Business Media
ISBN 13 : 9780387944067
Total Pages : 290 pages
Book Rating : 4.60/5 ( download)

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Download or read book Selected Papers and Other Writings written by Irving Kaplansky and published by Springer Science & Business Media. This book was released on 1995-04-13 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is not often that one gets to write a preface to a collection of one's own papers. The most urgent task is to thank the people who made this book possible. That means first of all Hy Bass who, on behalf of Springer-Verlag, approached me about the idea. The late Walter Kaufmann-Biihler was very encouraging; Paulo Ribenboim helped in an important way; and Ina Lindemann saw the project through with tact and skill that I deeply appreciate. My wishes have been indulged in two ways. First, I was allowed to follow up each selected paper with an afterthought. Back in my student days I became aware of the Gesammelte Mathematische Werke of Dedekind, edited by Fricke, Noether, and Ore. I was impressed by the editors' notes that followed most of the papers and found them very usefuL A more direct model was furnished by the collected papers of Lars Ahlfors, in which the author himself supplied afterthoughts for each paper or group of papers. These were tough acts to follow, but I hope that some readers will find at least some of my afterthoughts interesting. Second, I was permitted to add eight previously unpublished items. My model here, to a certain extent, was the charming little book, A Mathematician's Miscel lany by J. E. Littlewood. In picking these eight I had quite a selection to make -from fourteen loose-leaf notebooks of such writings. Here again I hope that at least some will be found to be of interest.

Author : W. H. Schikhof
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.56/5 ( download)

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Download or read book Finite Rank Modules Over a Valuation Ring written by W. H. Schikhof and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Saskia Oortwijn
Publisher :
ISBN 13 : 9789090086637
Total Pages : 191 pages
Book Rating : 4.33/5 ( download)

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Download or read book Locally Convex Modules Over Valuation Rings written by Saskia Oortwijn and published by . This book was released on 1995 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zsfassung in niederländ. Sprache.