Journal article
Factorization in Integral Domains, IV
Communications in Algebra, Vol.38(12), pp.4501-4513
12/15/2010
DOI: 10.1080/00927870903389167
Abstract
Let D be an integral domain such that every nonzero nonunit of D is a finite product of irreducible elements. In this article, we introduce and study several unifying concepts for the theory of nonunique factorization in D. They give a new way to measure, in some sense, how far an half-factorial domain (resp., bounded factorization domain, atomic domain) D is from being a UFD (resp., finite factorization domain, Cohen-Kaplansky domain) based on equivalence relations on the set of irreducible elements of D.
Details
- Title: Subtitle
- Factorization in Integral Domains, IV
- Creators
- D. D Anderson - Department of Mathematics , The University of IowaDavid F Anderson - Department of Mathematics , The University of Tennessee
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.38(12), pp.4501-4513
- Publisher
- Taylor & Francis Group
- DOI
- 10.1080/00927870903389167
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 12/15/2010
- Academic Unit
- Mathematics
- Record Identifier
- 9983985955602771
Metrics
19 Record Views