Factorization In Integral Domains
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Factorization in Integral Domains
Author | : Daniel Anderson |
Publsiher | : Routledge |
Total Pages | : 448 |
Release | : 2017-11-13 |
Genre | : Mathematics |
ISBN | : 9781351448949 |
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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
Author | : Daniel Anderson |
Publsiher | : CRC Press |
Total Pages | : 452 |
Release | : 1997-04-22 |
Genre | : Mathematics |
ISBN | : 0824700325 |
Download Factorization in Integral Domains Book in PDF, Epub and Kindle
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.
Factoring Ideals in Integral Domains
Author | : Marco Fontana,Evan Houston,Thomas Lucas,Unione matematica italiana |
Publsiher | : Springer Science & Business Media |
Total Pages | : 170 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 9783642317118 |
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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.
Non Unique Factorizations
Author | : Alfred Geroldinger,Franz Halter-Koch |
Publsiher | : CRC Press |
Total Pages | : 723 |
Release | : 2006-01-13 |
Genre | : Mathematics |
ISBN | : 9781420003208 |
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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
Author | : Samuel Borofsky |
Publsiher | : Unknown |
Total Pages | : 46 |
Release | : 1939 |
Genre | : Electronic Book |
ISBN | : RUTGERS:39030019383746 |
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Integral Domains Inside Noetherian Power Series Rings Constructions and Examples
Author | : William Heinzer,Christel Rotthaus,Sylvia Wiegand |
Publsiher | : American Mathematical Soc. |
Total Pages | : 426 |
Release | : 2021-10-08 |
Genre | : Education |
ISBN | : 9781470466428 |
Download Integral Domains Inside Noetherian Power Series Rings Constructions and Examples Book in PDF, Epub and Kindle
Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach. The authors put these results in perspective; often the proofs of properties of classical examples are simplified. The book will serve as a helpful resource for researchers working in commutative algebra.
Factorization
Author | : Steven H. Weintraub |
Publsiher | : CRC Press |
Total Pages | : 270 |
Release | : 2008-05-15 |
Genre | : Mathematics |
ISBN | : 9781439865668 |
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The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in modern mathematics and its applications. This exposition of the classic theory leads the reader to an understanding of the current knowledge of the subject and its connections to other math
Abstract Algebra with Applications
Author | : Karlheinz Spindler |
Publsiher | : CRC Press |
Total Pages | : 554 |
Release | : 1993-10-18 |
Genre | : Mathematics |
ISBN | : 0824791592 |
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A comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.