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Multiplicative Ideal Theory In Semigroups


Multiplicative Ideal Theory In Semigroups
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Multiplicative Ideal Theory In Semigroups


Multiplicative Ideal Theory In Semigroups
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Author : Kentaro Murata
language : en
Publisher:
Release Date : 1975

Multiplicative Ideal Theory In Semigroups written by Kentaro Murata and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Ideals (Algebra) categories.




Multiplicative Ideal Theory In Commutative Algebra


Multiplicative Ideal Theory In Commutative Algebra
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Author : James W. Brewer
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-15

Multiplicative Ideal Theory In Commutative Algebra written by James W. Brewer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-15 with Mathematics categories.


For over forty years, Robert Gilmer’s numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in non-Noetherian ring theory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. This volume, a tribute to his work, consists of twenty-four articles authored by Robert Gilmer’s most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. In a concluding article, Robert Gilmer points out directions for future research, highlighting the open problems in the areas he considers of importance. Robert Gilmer’s article is followed by the complete list of his published works, his mathematical genealogical tree, information on the writing of his four books, and reminiscences about Robert Gilmer’s contributions to the stimulating research environment in commutative algebra at Florida State in the middle 1960s. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra.



Multiplicative Ideal Theory And Factorization Theory


Multiplicative Ideal Theory And Factorization Theory
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Author : Scott Chapman
language : en
Publisher: Springer
Release Date : 2016-07-29

Multiplicative Ideal Theory And Factorization Theory written by Scott Chapman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-29 with Mathematics categories.


This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non-commutative perspectives on these areas, which have their roots in number theory, commutative algebra, and algebraic geometry. Topics discussed include topological aspects in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It will be of interest to practitioners of mathematics and computer science, and researchers in multiplicative ideal theory, factorization theory, number theory, and algebraic geometry.



Ideal Theory Of Commutative Rings And Monoids


Ideal Theory Of Commutative Rings And Monoids
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Author : Franz Halter-Koch
language : en
Publisher: Springer Nature
Release Date : 2025-06-14

Ideal Theory Of Commutative Rings And Monoids written by Franz Halter-Koch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-14 with Mathematics categories.


This book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module systems on arbitrary commutative monoids. Examples of monoids that are investigated include, but are not limited to, Mori monoids, Laskerian monoids, Prüfer monoids and Krull monoids. An in-depth study of various constructions from ring theory is also provided, with an emphasis on polynomial rings, Kronecker function rings and Nagata rings. The target audience is graduate students and researchers in ring and semigroup theory.



The Algebraic Theory Of Semigroups Volume I


The Algebraic Theory Of Semigroups Volume I
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Author : Alfred Hoblitzelle Clifford
language : en
Publisher: American Mathematical Soc.
Release Date : 1961-12-31

The Algebraic Theory Of Semigroups Volume I written by Alfred Hoblitzelle Clifford and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961-12-31 with Mathematics categories.


The material in this volume was presented in a second-year graduate course at Tulane University, during the academic year 1958-1959. The book aims at being largely self-contained, but it is assumed that the reader has some familiarity with sets, mappings, groups, and lattices. Only in Chapter 5 will more preliminary knowledge be required, and even there the classical definitions and theorems on the matrix representations of algebras and groups are summarized.



Semigroups Theory And Applications


Semigroups Theory And Applications
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Author : Helmut Jürgensen
language : en
Publisher: Springer
Release Date : 2006-11-14

Semigroups Theory And Applications written by Helmut Jürgensen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.




Ideal Theoretic Methods In Commutative Algebra


Ideal Theoretic Methods In Commutative Algebra
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Author : Daniel Anderson
language : en
Publisher: CRC Press
Release Date : 2019-05-07

Ideal Theoretic Methods In Commutative Algebra written by Daniel Anderson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Mathematics categories.


Includes current work of 38 renowned contributors that details the diversity of thought in the fields of commutative algebra and multiplicative ideal theory. Summarizes recent findings on classes of going-down domains and the going-down property, emphasizing new characterizations and applications, as well as generalizations for commutative rings wi



Semigroups


Semigroups
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Author : E. S. Li͡apin
language : en
Publisher: American Mathematical Soc.
Release Date : 1968

Semigroups written by E. S. Li͡apin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.




Commutative Algebra And Its Applications


Commutative Algebra And Its Applications
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Author : Marco Fontana
language : en
Publisher: Walter de Gruyter
Release Date : 2009-09-04

Commutative Algebra And Its Applications written by Marco Fontana and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-04 with Mathematics categories.


This volume contains selected refereed papers based on lectures presented at the ‘Fifth International Fez Conference on Commutative Algebra and Applications’ that was held in Fez, Morocco in June 2008. The volume represents new trends and areas of classical research within the field, with contributions from many different countries. In addition, the volume has as a special focus the research and influence of Alain Bouvier on commutative algebra over the past thirty years.



Commutative Algebra


Commutative Algebra
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Author : Marco Fontana
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-29

Commutative Algebra written by Marco Fontana and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-29 with Mathematics categories.


Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.