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Author :
Publisher : Academic Press
ISBN 13 : 9780080873565
Total Pages : 297 pages
Book Rating : 4.8/5 (735 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 : Robert W. Gilmer
Publisher : New York : M. Dekker
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.X/5 (1 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 : James W. Brewer
Publisher : Springer Science & Business Media
ISBN 13 : 0387367179
Total Pages : 437 pages
Book Rating : 4.3/5 (873 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 : Scott Chapman
Publisher : Springer
ISBN 13 : 9783319388533
Total Pages : 0 pages
Book Rating : 4.3/5 (885 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 : Franz Halter-Koch
Publisher : CRC Press
ISBN 13 : 9780824701864
Total Pages : 444 pages
Book Rating : 4.7/5 (18 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 : Robert W. Gilmer
Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.:/5 (763 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 : Scott Chapman
Publisher : Springer
ISBN 13 : 331938855X
Total Pages : 407 pages
Book Rating : 4.3/5 (193 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 : Jesse Elliott
Publisher : Springer Nature
ISBN 13 : 3030244016
Total Pages : 490 pages
Book Rating : 4.0/5 (32 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 : Craig Huneke
Publisher : Cambridge University Press
ISBN 13 : 0521688604
Total Pages : 446 pages
Book Rating : 4.5/5 (216 download)
Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Author : Enrico Carlini
Publisher : Springer Nature
ISBN 13 : 3030452476
Total Pages : 162 pages
Book Rating : 4.0/5 (34 download)
Download or read book Ideals of Powers and Powers of Ideals written by Enrico Carlini and published by Springer Nature. This book was released on 2020-05-21 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
Author : Daniel Anderson
Publisher : CRC Press
ISBN 13 : 9780824705534
Total Pages : 378 pages
Book Rating : 4.7/5 (55 download)
Download or read book Ideal Theoretic Methods in Commutative Algebra written by Daniel Anderson and published by CRC Press. This book was released on 2001-05-04 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : James W. Brewer
Publisher : Springer
ISBN 13 : 9780387505343
Total Pages : 0 pages
Book Rating : 4.5/5 (53 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 : W. Frank Moore
Publisher : Springer
ISBN 13 : 3319968769
Total Pages : 387 pages
Book Rating : 4.3/5 (199 download)
Download or read book Monomial Ideals and Their Decompositions written by W. Frank Moore and published by Springer. This book was released on 2018-10-24 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in abstract algebra that includes polynomial rings and ideals, this book serves as a core text for a course in combinatorial commutative algebra or as preparation for more advanced courses in the area. The text contains over 600 exercises to provide readers with a hands-on experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a firsthand introduction to the computer algebra system Macaulay2 with tutorials and exercises for most sections of the text, preparing them for significant computational work in the area. Connections to non-monomial areas of abstract algebra, electrical engineering, combinatorics and other areas of mathematics are provided which give the reader a sense of how these ideas reach into other areas.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387216901
Total Pages : 676 pages
Book Rating : 4.3/5 (872 download)
Download or read book Classical Theory of Algebraic Numbers written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics.
Author : Michael F. Atiyah
Publisher : CRC Press
ISBN 13 : 0429973268
Total Pages : 140 pages
Book Rating : 4.4/5 (299 download)
Download or read book Introduction To Commutative Algebra written by Michael F. Atiyah and published by CRC Press. This book was released on 2018-03-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.
Author : Marco Fontana
Publisher : CRC Press
ISBN 13 : 9780203910627
Total Pages : 524 pages
Book Rating : 4.9/5 (16 download)
Download or read book Commutative Ring Theory and Applications written by Marco Fontana and published by CRC Press. This book was released on 2017-07-27 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geome
Author : Fanggui Wang
Publisher : Springer
ISBN 13 : 9811033374
Total Pages : 699 pages
Book Rating : 4.8/5 (11 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.
