Title
Irreducible divisor graphs in commutative rings with zero divisors
Department/School
Mathematics
Date
6-28-2008
Document Type
Article
Keywords
irreducible divisor graphs, commulative rings, zero-divisors
Abstract
In their article “Irreducible Divisor Graphs”, Coykendall and Maney (2007) introduced the idea of irreducible divisor graphs of elements of a domain. We generalize this concept to commutative rings with zero divisors. In particular, the interplay of unique factoring and connected/complete graphs is explored. The diameter and girth of such graphs are also briefly discussed.
Published in
Communications in Algebra
COinS
Citation/Other Information
Axtell, M. & Stickles, J. (2008) Irreducible divisor graphs in commutative rings with zero divisors. Communications in Algebra, 36:5, 1883-1893, DOI: 10.1080/00927870801941473