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Author : Robert W. Gilmer
Publisher : New York : M. Dekker
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.91/5 ( download)
Download or read book Multiplicative Ideal Theory written by Robert W. Gilmer and published by New York : M. Dekker. This book was released on 1972 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Academic Press
ISBN 13 : 9780080873565
Total Pages : 297 pages
Book Rating : 4.61/5 ( download)
Download or read book Multiplicative Theory of Ideals written by and published by Academic Press. This book was released on 1971-10-11 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiplicative Theory of Ideals
Author : James W. Brewer
Publisher : Springer Science & Business Media
ISBN 13 : 0387367179
Total Pages : 437 pages
Book Rating : 4.70/5 ( download)
Download or read book Multiplicative Ideal Theory in Commutative Algebra written by James W. Brewer and published by Springer Science & Business Media. This book was released on 2006-12-15 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Robert W. Gilmer
Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.64/5 ( download)
Download or read book Multiplicative Ideal Theory written by Robert W. Gilmer and published by . This book was released on 1968 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Franz Halter-Koch
Publisher : CRC Press
ISBN 13 : 9780824701864
Total Pages : 444 pages
Book Rating : 4.60/5 ( download)
Download or read book Ideal Systems written by Franz Halter-Koch and published by CRC Press. This book was released on 1998-04-21 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."
Author : Scott Chapman
Publisher : Springer
ISBN 13 : 9783319388533
Total Pages : 0 pages
Book Rating : 4.33/5 ( download)
Download or read book Multiplicative Ideal Theory and Factorization Theory written by Scott Chapman and published by Springer. This book was released on 2016-07-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Scott Chapman
Publisher : Springer
ISBN 13 : 331938855X
Total Pages : 407 pages
Book Rating : 4.57/5 ( download)
Download or read book Multiplicative Ideal Theory and Factorization Theory written by Scott Chapman and published by Springer. This book was released on 2016-07-29 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : James W. Brewer
Publisher : Springer
ISBN 13 : 9780387505343
Total Pages : 0 pages
Book Rating : 4.42/5 ( download)
Download or read book Multiplicative Ideal Theory in Commutative Algebra written by James W. Brewer and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jesse Elliott
Publisher : Springer Nature
ISBN 13 : 3030244016
Total Pages : 490 pages
Book Rating : 4.19/5 ( download)
Download or read book Rings, Modules, and Closure Operations written by Jesse Elliott and published by Springer Nature. This book was released on 2019-11-30 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Fanggui Wang
Publisher : Springer
ISBN 13 : 9811033374
Total Pages : 699 pages
Book Rating : 4.77/5 ( download)
Download or read book Foundations of Commutative Rings and Their Modules written by Fanggui Wang and published by Springer. This book was released on 2017-01-06 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that the topics covered are ones that usually are included in any commutative algebra text. However, the contents of this book differ significantly from most commutative algebra texts: namely, its treatment of the Dedekind–Mertens formula, the (small) finitistic dimension of a ring, Gorenstein rings, valuation overrings and the valuative dimension, and Nagata rings. Going further, Chapter 6 presents w-modules over commutative rings as they can be most commonly used by torsion theory and multiplicative ideal theory. Chapter 7 deals with multiplicative ideal theory over integral domains. Chapter 8 collects various results of the pullbacks, especially Milnor squares and D+M constructions, which are probably the most important example-generating machines. In Chapter 9, coherent rings with finite weak global dimensions are probed, and the local ring of weak global dimension two is elaborated on by combining homological tricks and methods of star operation theory. Chapter 10 is devoted to the Grothendieck group of a commutative ring. In particular, the Bass–Quillen problem is discussed. Finally, Chapter 11 aims to introduce relative homological algebra, especially where the related concepts of integral domains which appear in classical ideal theory are defined and investigated by using the class of Gorenstein projective modules. Each section of the book is followed by a selection of exercises of varying degrees of difficulty. This book will appeal to a wide readership from graduate students to academic researchers who are interested in studying commutative algebra.
