Advances In Rings Modules And Factorizations

Author : Alberto Facchini,Marco Fontana,Alfred Geroldinger,Bruce Olberding
Publisher : Springer Nature
Page : 341 pages
File Size : 50,5 Mb
Release : 2020-06-02
Category : Mathematics
ISBN : 9783030434168

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Advances in Rings, Modules and Factorizations by Alberto Facchini,Marco Fontana,Alfred Geroldinger,Bruce Olberding Pdf

Occasioned by the international conference "Rings and Factorizations" held in February 2018 at University of Graz, Austria, this volume represents a wide range of research trends in the theory of commutative and non-commutative rings and their modules, including multiplicative ideal theory, Dedekind and Krull rings and their generalizations, rings of integer valued-polynomials, topological aspects of ring theory, factorization theory in rings and semigroups and direct-sum decompositions of modules. The volume will be of interest to researchers seeking to extend or utilize work in these areas as well as graduate students wishing to find entryways into active areas of current research in algebra. A novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may be treated with overlapping and reinforcing approaches.

Author : Alberto Facchini
Publisher : CRC Press
Page : 508 pages
File Size : 52,7 Mb
Release : 2020-02-10
Category : Mathematics
ISBN : 9780824750817

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Rings, Modules, Algebras, and Abelian Groups by Alberto Facchini Pdf

Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological

Author : Sergio R. López-Permouth,Dinh Van Huynh
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 54,7 Mb
Release : 2011-01-28
Category : Mathematics
ISBN : 9783034602860

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Advances in Ring Theory by Sergio R. López-Permouth,Dinh Van Huynh Pdf

This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.

Author : Sergio R. López-Permouth,Jae Keol Park,S. Tariq Rizvi,Cosmin S. Roman
Publisher : American Mathematical Soc.
Page : 283 pages
File Size : 54,9 Mb
Release : 2018-09-06
Category : Modules (Algebra)
ISBN : 9781470435554

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Advances in Rings and Modules by Sergio R. López-Permouth,Jae Keol Park,S. Tariq Rizvi,Cosmin S. Roman Pdf

This volume, dedicated to Bruno J. Müller, a renowned algebraist, is a collection of papers that provide a snapshot of the diversity of themes and applications that interest algebraists today. The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed. In addition, selected expository articles are included to give algebraists and other mathematicians, including graduate students, an accessible introduction to areas that may be outside their own expertise.

Author : S.K. Jain,Rizvi S. Tariq
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461219781

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Advances in Ring Theory by S.K. Jain,Rizvi S. Tariq Pdf

Author : Gary F. Birkenmeier,Jae Keol Park,S Tariq Rizvi
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 50,6 Mb
Release : 2013-07-19
Category : Mathematics
ISBN : 9780387927169

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Extensions of Rings and Modules by Gary F. Birkenmeier,Jae Keol Park,S Tariq Rizvi Pdf

The "extensions" of rings and modules have yet to be explored in detail in a research monograph. This book presents state of the art research and also stimulating new and further research. Broken into three parts, Part I begins with basic notions, terminology, definitions and a description of the classes of rings and modules. Part II considers the transference of conditions between a base ring or module and its extensions. And Part III utilizes the concept of a minimal essental extension with respect to a specific class (a hull). Mathematical interdisciplinary applications appear throughout. Major applications of the ring and module theory to Functional Analysis, especially C*-algebras, appear in Part III, make this book of interest to Algebra and Functional Analysis researchers. Notes and exercises at the end of every chapter, and open problems at the end of all three parts, lend this as an ideal textbook for graduate or advanced undergradate students.

Author : Marco Fontana,Sophie Frisch,Sarah Glaz,Francesca Tartarone,Paolo Zanardo
Publisher : Springer
Page : 375 pages
File Size : 40,9 Mb
Release : 2017-11-11
Category : Mathematics
ISBN : 9783319658742

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Rings, Polynomials, and Modules by Marco Fontana,Sophie Frisch,Sarah Glaz,Francesca Tartarone,Paolo Zanardo Pdf

This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non-Noetherian ring theory, module theory and integer-valued polynomials along with connections to algebraic number theory, algebraic geometry, topology and homological algebra. Most of the eighteen contributions are authored by attendees of the two conferences in commutative algebra that were held in the summer of 2016: “Recent Advances in Commutative Ring and Module Theory,” Bressanone, Italy; “Conference on Rings and Polynomials” Graz, Austria. There is also a small collection of invited articles authored by experts in the area who could not attend either of the conferences. Following the model of the talks given at these conferences, the volume contains a number of comprehensive survey papers along with related research articles featuring recent results that have not yet been published elsewhere.

Author : David Dobbs
Publisher : CRC Press
Page : 578 pages
File Size : 51,7 Mb
Release : 2023-08-25
Category : Mathematics
ISBN : 9781000939637

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Advances in Commutative Ring Theory by David Dobbs Pdf

"Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry."

Author : Christopher Francisco,Lee C. Klingler,Sean M. Sather-Wagstaff,Janet C. Vassilev
Publisher : Walter de Gruyter
Page : 329 pages
File Size : 46,5 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9783110278606

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Progress in Commutative Algebra 2 by Christopher Francisco,Lee C. Klingler,Sean M. Sather-Wagstaff,Janet C. Vassilev Pdf

This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure. Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely generated. The final three papers in this volume investigate factorization in a broad sense. The first paper by Celikbas and Eubanks-Turner discusses the partially ordered set of prime ideals of the projective line over the integers. The editors have also included a paper on zero divisor graphs by Coykendall, Sather-Wagstaff, Sheppardson and Spiroff. The final paper, by Chapman and Krause, concerns non-unique factorization.

Author : Jesse Elliott
Publisher : Springer Nature
Page : 490 pages
File Size : 52,6 Mb
Release : 2019-11-30
Category : Mathematics
ISBN : 9783030244019

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Rings, Modules, and Closure Operations by Jesse Elliott Pdf

This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.

Author : A. J. Berrick,M. E. Keating
Publisher : Cambridge University Press
Page : 286 pages
File Size : 43,9 Mb
Release : 2000-05
Category : Mathematics
ISBN : 0521632749

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An Introduction to Rings and Modules by A. J. Berrick,M. E. Keating Pdf

This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.

Author : David Dobbs
Publisher : CRC Press
Page : 578 pages
File Size : 47,6 Mb
Release : 1999-03-04
Category : Mathematics
ISBN : 0824771478

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Advances in Commutative Ring Theory by David Dobbs Pdf

"Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry."

Author : Maurice Auslander,David Buchsbaum
Publisher : Courier Corporation
Page : 484 pages
File Size : 48,9 Mb
Release : 2014-06-18
Category : Mathematics
ISBN : 9780486490823

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Groups, Rings, Modules by Maurice Auslander,David Buchsbaum Pdf

This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter. Dover (2014) republication of the edition originally published by Harper & Row Publishers, New York, 1974. See every Dover book in print at www.doverpublications.com

Author : P. J. Fleury
Publisher : Springer
Page : 152 pages
File Size : 47,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540393719

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Advances in Non-Commutative Ring Theory by P. J. Fleury Pdf

Author : Friedrich Kasch,Adolf Mader
Publisher : Springer Science & Business Media
Page : 154 pages
File Size : 47,9 Mb
Release : 2004-06-25
Category : Mathematics
ISBN : 3764371250

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Rings, Modules, and the Total by Friedrich Kasch,Adolf Mader Pdf

Accessible to anyone with a basic knowledge of ring and module theory A short introduction to torsion-free Abelian groups is included