Multiplicative Ideal Theory In Commutative Algebra
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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
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Author : Robert W. Gilmer
language : en
Publisher: New York : M. Dekker
Release Date : 1972
Multiplicative Ideal Theory written by Robert W. Gilmer and has been published by New York : M. Dekker this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Multiplicative Ideal Theory In Commutative Algebra
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Author : James W. Brewer
language : en
Publisher: Springer
Release Date : 2008-11-01
Multiplicative Ideal Theory In Commutative Algebra written by James W. Brewer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 with Mathematics categories.
This volume, a tribute to the work of Robert Gilmer, consists of twenty-four articles authored by his 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. The entire collection provides an in-depth overview of the topics of research in a significant and large area of 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
Multiplicative Theory Of Ideals
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Author :
language : en
Publisher: Academic Press
Release Date : 1971-10-11
Multiplicative Theory Of Ideals written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-10-11 with Mathematics categories.
Multiplicative Theory of Ideals
Ideal Systems
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Author : Franz Halter-Koch
language : en
Publisher: CRC Press
Release Date : 1998-04-21
Ideal Systems written by Franz Halter-Koch and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-21 with Mathematics categories.
"Provides for the first time a concise introduction to general and multiplicative ideal theory, valid for commutative rings and monoids and presented in the language of ideal systems on (commutative) monoids."
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 Theoretic Methods In Commutative Algebra
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Author : Daniel Anderson
language : en
Publisher: CRC Press
Release Date : 2001-05-04
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 2001-05-04 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 with zero divisors.
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.