Journal article
Bounded Factorization Rings
Communications in Algebra, Vol.35(12), pp.3892-3903
11/26/2007
DOI: 10.1080/00927870701509230
Abstract
In this article we present some results about bounded factorization rings (BFRs), i.e., commutative rings with the property that each nonzero nonunit has a bound on the length of its factorizations into nonunits. In their article Factorization in Commutative Rings with Zero Divisors, Anderson and Valdes-Leon conjectured that R[x], the polynomial ring over R, is a bounded factorization ring if and only if R is a BFR and 0 is primary in R. We give some conditions under which the conjecture is true and present a bounded factorization ring with 0 primary where the polynomial ring is not a BFR.
Details
- Title: Subtitle
- Bounded Factorization Rings
- Creators
- D. D Anderson - Department of Mathematics , The University of IowaAmit Ganatra - Goldman Sachs
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.35(12), pp.3892-3903
- Publisher
- Taylor & Francis Group
- DOI
- 10.1080/00927870701509230
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 11/26/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9983985965902771
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