Author: Daniel Anderson
Publisher: Routledge
ISBN: 1351448935
Category : Mathematics
Languages : en
Pages : 452
Book Description
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
Publisher: Routledge
ISBN: 1351448935
Category : Mathematics
Languages : en
Pages : 452
Book Description
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.
Publisher: Routledge
ISBN: 1351448935
Category : Mathematics
Languages : en
Pages : 452
Book Description
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
Publisher: Routledge
ISBN: 1351448943
Category : Mathematics
Languages : en
Pages : 448
Book Description
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.
Publisher: Routledge
ISBN: 1351448943
Category : Mathematics
Languages : en
Pages : 448
Book Description
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
Publisher: CRC Press
ISBN: 9780824700324
Category : Mathematics
Languages : en
Pages : 452
Book Description
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.
Publisher: CRC Press
ISBN: 9780824700324
Category : Mathematics
Languages : en
Pages : 452
Book Description
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: Samuel Borofsky
Publisher:
ISBN:
Category :
Languages : en
Pages : 46
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 46
Book Description
Factoring Ideals in Integral Domains
Author: Marco Fontana
Publisher: Springer Science & Business Media
ISBN: 3642317111
Category : Mathematics
Languages : en
Pages : 170
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3642317111
Category : Mathematics
Languages : en
Pages : 170
Book Description
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.
Some Results on Factorization in Integral Domains
Author: Jack Robert Bennett
Publisher:
ISBN: 9781124939643
Category : Factorization (Mathematics)
Languages : en
Pages : 69
Book Description
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.
Publisher:
ISBN: 9781124939643
Category : Factorization (Mathematics)
Languages : en
Pages : 69
Book Description
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.
Some Types of Unique Factorization in Integral Domains
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 106
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 106
Book Description
Factorization in Integral Domains Without Identity
Author: Jonathan Preisser
Publisher:
ISBN:
Category : Factorization (Mathematics)
Languages : en
Pages : 88
Book Description
Publisher:
ISBN:
Category : Factorization (Mathematics)
Languages : en
Pages : 88
Book Description
Factorization in Integral Domains
Author: Klara J. Cohn
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 62
Book Description
Factorization in Integral Domains
Author: Samuel Borofsky
Publisher:
ISBN:
Category : Factors (Algebra)
Languages : en
Pages : 36
Book Description
Publisher:
ISBN:
Category : Factors (Algebra)
Languages : en
Pages : 36
Book Description