Factorization In Integral Domains
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Factorization In Integral Domains
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Author : Daniel Anderson
language : en
Publisher: CRC Press
Release Date : 1997-04-22
Factorization In Integral Domains 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 1997-04-22 with Mathematics categories.
The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City. The text gathers current work on factorization in integral domains and monoids, and the theory of divisibility, emphasizing possible different lengths of factorization into irreducible elements.
Factorization In Integral Domains
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Author : Samuel Borofsky
language : en
Publisher:
Release Date : 1939
Factorization In Integral Domains written by Samuel Borofsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1939 with categories.
Factorization In Integral Domains
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Author : Daniel Anderson
language : en
Publisher: CRC Press
Release Date : 2017-08-21
Factorization In Integral Domains 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 2017-08-21 with categories.
The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City. The text gathers current work on factorization in integral domains and monoids, and the theory of divisibility, emphasizing possible different lengths of factorization into irreducible elements.
Some Types Of Unique Factorization In Integral Domains
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Author :
language : en
Publisher:
Release Date : 1968
Some Types Of Unique Factorization In Integral Domains written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Concepts In Abstract Algebra
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Author : Charles Lanski
language : en
Publisher: American Mathematical Soc.
Release Date :
Concepts In Abstract Algebra written by Charles Lanski 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 with Mathematics categories.
The style and structure of CONCEPTS IN ABSTRACT ALGEBRA is designed to help students learn the core concepts and associated techniques in algebra deeply and well. Providing a fuller and richer account of material than time allows in a lecture, this text presents interesting examples of sufficient complexity so that students can see the concepts and results used in a nontrivial setting. Author Charles Lanski gives students the opportunity to practice by offering many exercises that require the use and synthesis of the techniques and results. Both readable and mathematically interesting, the text also helps students learn the art of constructing mathematical arguments. Overall, students discover how mathematics proceeds and how to use techniques that mathematicians actually employ. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).
Non Unique Factorizations
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Author : Alfred Geroldinger
language : en
Publisher: CRC Press
Release Date : 2006-01-13
Non Unique Factorizations written by Alfred Geroldinger and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-13 with Mathematics categories.
From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factoriza
Factorization In Integral Domains
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Author : Klara J. Cohn
language : en
Publisher:
Release Date : 1994
Factorization In Integral Domains written by Klara J. Cohn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Factoring Ideals In Integral Domains
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Author : Marco Fontana
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-14
Factoring Ideals In Integral Domains 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 2012-09-14 with Mathematics categories.
This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors in recent years. Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be factored as the product of its divisorial closure and a product of maximal ideals and (2) those with pseudo-Dedekind factorization, in which each nonzero, noninvertible ideal can be factored as the product of an invertible ideal with a product of pairwise comaximal prime ideals. Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well.
Recent Progress In Ring And Factorization Theory
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Author : Matej Brešar
language : en
Publisher: Springer Nature
Release Date : 2025-06-11
Recent Progress In Ring And Factorization Theory written by Matej Brešar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-11 with Mathematics categories.
This proceedings volume gathers a selection of cutting-edge research in both commutative and non-commutative ring theory and factorization theory. The papers were presented at the Conference on Rings and Factorization held at the University of Graz, Austria, July 10–14, 2023. The volume covers a wide range of topics including multiplicative ideal theory, Dedekind, Prüfer, Krull, and Mori rings, non-commutative rings and algebras, rings of integer-valued polynomials, topological aspects in ring theory, factorization theory in rings and semigroups, and direct-sum decomposition of modules. The conference also featured two special sessions dedicated to Matej Brešar and Sophie Frisch on the occasion of their 60th birthdays. This volume is aimed at graduate students and researchers in these areas as well as related fields and provides new insights into both classical and contemporary research in ring and factorization theory.
Some Results On Factorization In Integral Domains
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Author : Jack Robert Bennett
language : en
Publisher:
Release Date : 2011
Some Results On Factorization In Integral Domains written by Jack Robert Bennett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Factorization (Mathematics) categories.
In this dissertation, we study three recent generalizations of unique factorization; the almost Schreier property, the inside factorial property, and the IDPF property. Let R be an integral domain and let p be a nonzero element of R. Then, p is said to be almost primal if whenever p [vertical line] xy, there exists an integer k [greater than or equal to] 1 and p 1, p 2 [is an element of] R such that p k = p 1 p 2 with p 1 [vertical line] x k and p 2 [vertical line] y k . R is said to be almost Schreier if every nonzero element of R is almost primal. Given an M -graded domain R = [tensor product of modules] m [is an element of] M R m, where M is a torsion-free, commutative, cancellative monoid, we classify when R is almost Schreier under the assumption that R [is a subset of] R is a root extension. We then specialize to the case of commutative semigroup rings and show that if R [M] [is a subset of] [Special characters omitted.] is a root extension, then R [M] is almost Schreier if and only if R is an almost Schreier domain and M is an almost Schreier monoid.