Title
τ-U-factorizations and their graphs in commutative rings with zero divisors
Department/School
Mathematics
Date
1-12-2015
Document Type
Article
Keywords
Commutative ring, irreducible, U-factorization, τ-factorization, graph
Abstract
Let R be a commutative ring with identity, and let τ be a relation on the nonzero, non-unit elements of R. In this paper we generalize the definitions of a factorization and a U-factorization via a relation τ and construct a variety of graphs based on these generalizations. These graphs are then examined in an effort to determine ring-theoretic properties.
Volume
18
Issue
18
Published in
International Electronic Journal of Algebra
COinS
Citation/Other Information
Axtell, M., & Mooney, C. (2015). τ-U-factorizations and their graphs in commutative rings with zero divisors. International Electronic Journal of Algebra, 18(18) 18, 72-91