CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: MSC category 13A05 ( Divisibility; factorizations [See also 13F15] )

  Expand all        Collapse all Results 1 - 2 of 2

1. CMB Online first

Boynton, Jason Greene; Coykendall, Jim
On the Graph of Divisibility of an Integral Domain
It is well known that the factorization properties of a domain are reflected in the structure of its group of divisibility. The main theme of this paper is to introduce a topological/graph-theoretic point of view to the current understanding of factorization in integral domains. We also show that connectedness properties in the graph and topological space give rise to a generalization of atomicity.

Keywords:atomic, factorization, divisibility
Categories:13F15, 13A05

2. CMB 2000 (vol 43 pp. 362)

Kim, Hwankoo
Examples of Half-Factorial Domains
In this paper, we determine some sufficient conditions for an $A + XB[X]$ domain to be an HFD. As a consequence we give new examples of HFDs of the type $A + XB[X]$.

Keywords:atomic domain, HFD
Categories:13A05, 13B30, 13F15, 13G05

© Canadian Mathematical Society, 2014 : https://cms.math.ca/