Factorization In Integral Domains
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Author |
: Daniel Anderson |
Publisher |
: Routledge |
Total Pages |
: 448 |
Release |
: 2017-11-13 |
ISBN-10 |
: 9781351448949 |
ISBN-13 |
: 1351448943 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Factorization in Integral Domains by : Daniel Anderson
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.
Author |
: Daniel Anderson |
Publisher |
: Routledge |
Total Pages |
: 452 |
Release |
: 2017-11-13 |
ISBN-10 |
: 9781351448932 |
ISBN-13 |
: 1351448935 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Factorization in Integral Domains by : Daniel Anderson
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.
Author |
: Daniel Anderson |
Publisher |
: CRC Press |
Total Pages |
: 452 |
Release |
: 1997-04-22 |
ISBN-10 |
: 0824700325 |
ISBN-13 |
: 9780824700324 |
Rating |
: 4/5 (25 Downloads) |
Synopsis Factorization in Integral Domains by : Daniel Anderson
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.
Author |
: Samuel Borofsky |
Publisher |
: |
Total Pages |
: 46 |
Release |
: 1939 |
ISBN-10 |
: RUTGERS:39030019383746 |
ISBN-13 |
: |
Rating |
: 4/5 (46 Downloads) |
Synopsis Factorization in Integral Domains by : Samuel Borofsky
Author |
: Marco Fontana |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 170 |
Release |
: 2013 |
ISBN-10 |
: 9783642317118 |
ISBN-13 |
: 3642317111 |
Rating |
: 4/5 (18 Downloads) |
Synopsis Factoring Ideals in Integral Domains by : Marco Fontana
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.
Author |
: Jack Robert Bennett |
Publisher |
: |
Total Pages |
: 69 |
Release |
: 2011 |
ISBN-10 |
: 1124939644 |
ISBN-13 |
: 9781124939643 |
Rating |
: 4/5 (44 Downloads) |
Synopsis Some Results on Factorization in Integral Domains by : Jack Robert Bennett
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.
Author |
: Jonathan Preisser |
Publisher |
: |
Total Pages |
: 88 |
Release |
: 2009 |
ISBN-10 |
: OCLC:469119420 |
ISBN-13 |
: |
Rating |
: 4/5 (20 Downloads) |
Synopsis Factorization in Integral Domains Without Identity by : Jonathan Preisser
Author |
: Klara J. Cohn |
Publisher |
: |
Total Pages |
: 62 |
Release |
: 1994 |
ISBN-10 |
: OCLC:39118333 |
ISBN-13 |
: |
Rating |
: 4/5 (33 Downloads) |
Synopsis Factorization in Integral Domains by : Klara J. Cohn
Author |
: |
Publisher |
: |
Total Pages |
: 106 |
Release |
: 1968 |
ISBN-10 |
: OCLC:1089807092 |
ISBN-13 |
: |
Rating |
: 4/5 (92 Downloads) |
Synopsis Some Types of Unique Factorization in Integral Domains by :
Author |
: William Heinzer |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 426 |
Release |
: 2021-10-08 |
ISBN-10 |
: 9781470466428 |
ISBN-13 |
: 1470466422 |
Rating |
: 4/5 (28 Downloads) |
Synopsis Integral Domains Inside Noetherian Power Series Rings: Constructions and Examples by : William Heinzer
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.