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Author : Jan Van Geel
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (318 download)
Download or read book Places and Valuations in Noncommutative Ring Theory written by Jan Van Geel and published by . This book was released on 1981 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Marubayashi
Publisher : Springer Science & Business Media
ISBN 13 : 9401724369
Total Pages : 201 pages
Book Rating : 4.4/5 (17 download)
Download or read book Non-Commutative Valuation Rings and Semi-Hereditary Orders written by H. Marubayashi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much progress has been made during the last decade on the subjects of non commutative valuation rings, and of semi-hereditary and Priifer orders in a simple Artinian ring which are considered, in a sense, as global theories of non-commu tative valuation rings. So it is worth to present a survey of the subjects in a self-contained way, which is the purpose of this book. Historically non-commutative valuation rings of division rings were first treat ed systematically in Schilling's Book [Sc], which are nowadays called invariant valuation rings, though invariant valuation rings can be traced back to Hasse's work in [Has]. Since then, various attempts have been made to study the ideal theory of orders in finite dimensional algebras over fields and to describe the Brauer groups of fields by usage of "valuations", "places", "preplaces", "value functions" and "pseudoplaces". In 1984, N. 1. Dubrovin defined non-commutative valuation rings of simple Artinian rings with notion of places in the category of simple Artinian rings and obtained significant results on non-commutative valuation rings (named Dubrovin valuation rings after him) which signify that these rings may be the correct def inition of valuation rings of simple Artinian rings. Dubrovin valuation rings of central simple algebras over fields are, however, not necessarily to be integral over their centers.
Author : Hidetoshi Marubayashi
Publisher : Springer
ISBN 13 : 3642311520
Total Pages : 225 pages
Book Rating : 4.6/5 (423 download)
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.
Author : László Fuchs
Publisher : CRC Press
ISBN 13 : 9780824773267
Total Pages : 340 pages
Book Rating : 4.7/5 (732 download)
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 : Franz-Viktor Kuhlmann
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871393
Total Pages : 470 pages
Book Rating : 4.8/5 (713 download)
Download or read book Valuation Theory and Its Applications written by Franz-Viktor Kuhlmann and published by American Mathematical Soc.. This book was released on 2002-01-01 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). Valuation theory arose in the early part of the twentieth century in connection with number theory and has many important applications to geometry and analysis: the classical application to the study of algebraic curves and to Dedekind and Prufer domains; the close connection to the famousresolution of the singularities problem; the study of the absolute Galois group of a field; the connection between ordering, valuations, and quadratic forms over a formally real field; the application to real algebraic geometry; the study of noncommutative rings; etc. The special feature of this book isits focus on current applications of valuation theory to this broad range of topics. Also included is a paper on the history of valuation theory. The book is suitable for graduate students and research mathematicians working in algebra, algebraic geometry, number theory, and mathematical logic.
Author : Vesselin Drensky
Publisher : CRC Press
ISBN 13 : 9780824701833
Total Pages : 332 pages
Book Rating : 4.7/5 (18 download)
Download or read book Methods in Ring Theory written by Vesselin Drensky and published by CRC Press. This book was released on 1998-03-27 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."
Author : Nigel Kalton
Publisher : CRC Press
ISBN 13 : 9780824796112
Total Pages : 496 pages
Book Rating : 4.7/5 (961 download)
Download or read book Interaction Between Functional Analysis, Harmonic Analysis, and Probability written by Nigel Kalton and published by CRC Press. This book was released on 1995-10-12 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference on the interaction between functional analysis, harmonic analysis and probability theory, this work offers discussions of each distinct field, and integrates points common to each. It examines developments in Fourier analysis, interpolation theory, Banach space theory, probability, probability in Banach spaces, and more.
Author : Guillermo Segundo Ferreyra
Publisher : CRC Press
ISBN 13 : 9780824792879
Total Pages : 468 pages
Book Rating : 4.7/5 (928 download)
Download or read book Evolution Equations written by Guillermo Segundo Ferreyra and published by CRC Press. This book was released on 1994-10-20 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the lnternational Conference on Evolution Equations held recently at Louisiana State University, Baton Rouge, this work presents significant new research papers and state-of-the-art surveys on evolution equations and related fields. Important applications of evolution equations to problems in quantum theory, fluid dynamics, engineering, and biology are highlighted.
Author : Nicolae H. Pavel
Publisher : CRC Press
ISBN 13 : 1000153770
Total Pages : 356 pages
Book Rating : 4.0/5 (1 download)
Download or read book Optimal Control of Differential Equations written by Nicolae H. Pavel and published by CRC Press. This book was released on 2020-08-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics. Introduces new results as well as novel methods and techniques!"
Author : Giuseppe Da Prato
Publisher : CRC Press
ISBN 13 : 1482277654
Total Pages : 296 pages
Book Rating : 4.4/5 (822 download)
Download or read book Control of Partial Differential Equations written by Giuseppe Da Prato and published by CRC Press. This book was released on 1994-08-19 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This useful reference provides recent results as well as entirely new material on control problems for partial differential equations.
Author : Jeffrey Bergen
Publisher : CRC Press
ISBN 13 : 1000944948
Total Pages : 341 pages
Book Rating : 4.0/5 (9 download)
Download or read book Advances in Hopf Algebras written by Jeffrey Bergen and published by CRC Press. This book was released on 2023-08-18 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This remarkable reference covers topics such as quantum groups, Hopf Galois theory, actions and coactions of Hopf algebras, smash and crossed products, and the structure of cosemisimple Hopf algebras. "
Author : Eduardo Casas
Publisher : CRC Press
ISBN 13 : 9780824796075
Total Pages : 324 pages
Book Rating : 4.7/5 (96 download)
Download or read book Control of Partial Differential Equations and Applications written by Eduardo Casas and published by CRC Press. This book was released on 1995-09-20 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the International Federation for Information Processing TC7/WG-7.2 Conference, held in Laredo, Spain, this work covers theoretical advances as well as results on control problems and applications for partial differential equations. It examines the controllability and stabilization of distributed sytems, optimality conditions, shape optimization and numerical methods.
Author : K.D. Elworthy
Publisher : Routledge
ISBN 13 : 1351455214
Total Pages : 984 pages
Book Rating : 4.3/5 (514 download)
Download or read book Differential Equations written by K.D. Elworthy and published by Routledge. This book was released on 2017-11-22 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems.
Author : Howard Cook
Publisher : CRC Press
ISBN 13 : 1000110834
Total Pages : 417 pages
Book Rating : 4.0/5 (1 download)
Download or read book Continua written by Howard Cook and published by CRC Press. This book was released on 2020-12-17 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the special session on Modern Methods in Continuum Theory presented at the 100th Annual Joint Mathematics Meetings held in Cincinnati, Ohio. It also features the Houston Problem Book which includes a recently updated set of 200 problems accumulated over several years at the University of Houston.;These proceedings and problems are aimed at pure and applied mathematicians, topologists, geometers, physicists and graduate-level students in these disciplines.
Author : Klaus G. Fischer
Publisher : Routledge
ISBN 13 : 135145899X
Total Pages : 272 pages
Book Rating : 4.3/5 (514 download)
Download or read book Computational Algebra written by Klaus G. Fischer and published by Routledge. This book was released on 2018-02-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the fifth Mid-Atlantic Algebra Conference held recently at George Mason University, Fairfax, Virginia. Focuses on both the practical and theoretical aspects of computational algebra. Demonstrates specific computer packages, including the use of CREP to study the representation of theory for finite dimensional algebras and Axiom to study algebras of finite rank.
Author : Michel Krizek
Publisher : CRC Press
ISBN 13 : 1482277697
Total Pages : 534 pages
Book Rating : 4.4/5 (822 download)
Download or read book finite element methods written by Michel Krizek and published by CRC Press. This book was released on 2016-04-19 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings originated from a conference commemorating the 50th anniversary of the publication of Richard Courant's seminal paper, Variational Methods for Problems of Equilibrium and Vibration. These papers address fundamental questions in numerical analysis and the special problems that occur in applying the finite element method to various
Author : G. Komatsu
Publisher : CRC Press
ISBN 13 : 9780824788186
Total Pages : 250 pages
Book Rating : 4.7/5 (881 download)
Download or read book Complex Geometry written by G. Komatsu and published by CRC Press. This book was released on 1992-11-19 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of an international conference on complex geometry and related topics, held in commemoration of the 50th anniversary of Osaka University, Osaka, Japan. The text focuses on the CR invariants, hyperbolic geometry, Yamabe-type problems, and harmonic maps.
