Multiplicative Theory of Ideals
Author:
Publisher: Academic Press
Published: 1971-10-11
Total Pages: 317
ISBN-13: 0080873561
DOWNLOAD EBOOKMultiplicative Theory of Ideals
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Author:
Publisher: Academic Press
Published: 1971-10-11
Total Pages: 317
ISBN-13: 0080873561
DOWNLOAD EBOOKMultiplicative Theory of Ideals
Author: Robert W. Gilmer
Publisher: New York : M. Dekker
Published: 1972
Total Pages: 632
ISBN-13:
DOWNLOAD EBOOKAuthor: Max D. Larsen
Publisher:
Published: 1971
Total Pages: 298
ISBN-13:
DOWNLOAD EBOOKAuthor: James W. Brewer
Publisher: Springer Science & Business Media
Published: 2006-12-15
Total Pages: 437
ISBN-13: 0387367179
DOWNLOAD EBOOKThis 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:
Published: 1968
Total Pages: 700
ISBN-13:
DOWNLOAD EBOOKAuthor: Scott Chapman
Publisher: Springer
Published: 2016-07-30
Total Pages: 0
ISBN-13: 9783319388533
DOWNLOAD EBOOKThis 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
Published: 2016-07-29
Total Pages: 414
ISBN-13: 331938855X
DOWNLOAD EBOOKThis 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
Published: 1998-04-21
Total Pages: 444
ISBN-13: 9780824701864
DOWNLOAD EBOOK"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: Enrico Carlini
Publisher: Springer Nature
Published: 2020-05-21
Total Pages: 162
ISBN-13: 3030452476
DOWNLOAD EBOOKThis 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: Jesse Elliott
Publisher: Springer Nature
Published: 2019-11-30
Total Pages: 490
ISBN-13: 3030244016
DOWNLOAD EBOOKThis 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.