Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Modules Over Discrete Valuation Domains
Download Modules Over Discrete Valuation Domains full books in PDF, epub, and Kindle. Read online Modules Over Discrete Valuation Domains ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Modules Over Discrete Valuation Domains by : Piotr A. Krylov
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 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In this book, modules over a specific class of rings, the discrete valuations domains, are considered. Such modules call for a special consideration, since they have specific properties and play an important role in various areas of algebra, especially of commutative algebra. The text is accompanied by exercises, historical remarks, links to related fields and open problems. It is useful for students, graduates studying algebra, young researchers, and experts."--BOOK JACKET.
Book Synopsis Modules over Discrete Valuation Rings by : Piotr A. Krylov
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
Book Synopsis Modules Over Valuation Domains by : László Fuchs
Download or read book Modules Over Valuation Domains written by László Fuchs and published by . This book was released on 1983 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Endomorphisms of Modules Over Discrete Valuation Domains (PHD). by : Yu-Wen 1961 Cheng
Download or read book Endomorphisms of Modules Over Discrete Valuation Domains (PHD). written by Yu-Wen 1961 Cheng and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Classification of Modules Over Discrete Valuation Rings by : Sharon Cutler Ross
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:
Book Synopsis Modules Over Complete Discrete Valuation Rings by : Chang Mo Bang
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:
Book Synopsis Torsion-Free Modules by : Eben Matlis
Download or read book Torsion-Free Modules written by Eben Matlis and published by University of Chicago Press. This book was released on 1972 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of torsion-free modules over an arbitrary integral domain arises naturally as a generalization of torsion-free abelian groups. In this volume, Eben Matlis brings together his research on torsion-free modules that has appeared in a number of mathematical journals. Professor Matlis has reworked many of the proofs so that only an elementary knowledge of homological algebra and commutative ring theory is necessary for an understanding of the theory. The first eight chapters of the book are a general introduction to the theory of torsion-free modules. This part of the book is suitable for a self-contained basic course on the subject. More specialized problems of finding all integrally closed D-rings are examined in the last seven chapters, where material covered in the first eight chapters is applied. An integral domain is said to be a D-ring if every torsion-free module of finite rank decomposes into a direct sum of modules of rank 1. After much investigation, Professor Matlis found that an integrally closed domain is a D-ring if, and only if, it is the intersection of at most two maximal valuation rings.
Book Synopsis Manis Valuations and Prüfer Extensions I by : Manfred Knebusch
Download or read book Manis Valuations and Prüfer Extensions I written by Manfred Knebusch and published by Springer. This book was released on 2004-10-19 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is devoted to a study of relative Prüfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter.
Book Synopsis Prime Divisors and Noncommutative Valuation Theory by : Hidetoshi Marubayashi
Download or read book Prime Divisors and Noncommutative Valuation Theory written by Hidetoshi Marubayashi and published by Springer. This book was released on 2012-08-21 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves. But the noncommutative equivalent is mainly applied to finite dimensional skewfields. Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture. This arithmetical nature is also present in the theory of maximal orders in central simple algebras. Firstly, we aim at uniting maximal orders, valuation rings, Dubrovin valuations, etc. in a common theory, the theory of primes of algebras. Secondly, we establish possible applications of the noncommutative arithmetics to interesting classes of algebras, including the extension of central valuations to nice classes of quantized algebras, the development of a theory of Hopf valuations on Hopf algebras and quantum groups, noncommutative valuations on the Weyl field and interesting rings of invariants and valuations of Gauss extensions.
Book Synopsis The Decomposability of Torsion Free Modules of Finite Rank by : Eben Matlis
Download or read book The Decomposability of Torsion Free Modules of Finite Rank written by Eben Matlis and published by . This book was released on 1967 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introductory Notes on Valuation Rings and Function Fields in One Variable by : Renata Scognamillo
Download or read book Introductory Notes on Valuation Rings and Function Fields in One Variable written by Renata Scognamillo and published by Springer. This book was released on 2014-07-01 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory of algebraic curves and their function fields. The correspondences of this with other viewpoints (e.g. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results. Links with arithmetic are also often indicated. There are three appendices, concerning Hilbert’s Nullstellensatz (for which several proofs are provided), Puiseux series and Dedekind domains. There are also several exercises, often accompanied by hints, which sometimes develop further results not included in full for brevity reasons.
Book Synopsis Catalysys and Surface Science by : Heinz Heinemann
Download or read book Catalysys and Surface Science written by Heinz Heinemann and published by CRC Press. This book was released on 1985-06-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constructive Commutative Algebra by : Ihsen Yengui
Download or read book Constructive Commutative Algebra written by Ihsen Yengui and published by Springer. This book was released on 2015-12-11 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring. Simple and constructive proofs of some results in the theory of projective modules over polynomial rings are also given, and light is cast upon recent progress on the Hermite ring and Gröbner ring conjectures. New conjectures on unimodular completion arising from our constructive approach to the unimodular completion problem are presented. Constructive algebra can be understood as a first preprocessing step for computer algebra that leads to the discovery of general algorithms, even if they are sometimes not efficient. From a logical point of view, the dynamical evaluation gives a constructive substitute for two highly nonconstructive tools of abstract algebra: the Law of Excluded Middle and Zorn's Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical method reveals the computational content of this construction. These lecture notes follow this dynamical philosophy.
Download or read book Prufer Domains written by Marco Fontana and published by CRC Press. This book was released on 1996-09-04 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a picture of the research that has occurred and the techniques that have been involved in studying Prufer domains since about 1970. The text covers generating ideals in Prufer domains, particular overrings of Prufer domains, applications of the theory of overrings, generalized dedekind domains, polynomial extensions and quasi-Prufer domains, and more.
Book Synopsis Decomposition of Modules Over Valuation Domains by : Michael Frank Siddoway
Download or read book Decomposition of Modules Over Valuation Domains written by Michael Frank Siddoway and published by . This book was released on 1988 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Valuated modules over valuation domains (PHD). by : Ronald Frank Bollschweiler
Download or read book Valuated modules over valuation domains (PHD). written by Ronald Frank Bollschweiler and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Torsion-free Modules Over Valuation Domains by : Berthold Franzen
Download or read book On Torsion-free Modules Over Valuation Domains written by Berthold Franzen and published by . This book was released on 1983 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
