"The nilradical and non-nilradical graphs of commutative rings" by Abigail Bishop

Selected Works of Tom Cuchta

Follow Contact

Article

The nilradical and non-nilradical graphs of commutative rings

Mathematics Faculty Research

Abigail Bishop
Tom Cuchta, Marshall University
Kathryn Lokken
Oliver Pechenik

Link

Document Type

Article

Publication Date

1-1-2008

Disciplines

Mathematics and
Physical Sciences and Mathematics

Abstract

We introduce two subgraphs of the zero-divisor graph of a commutative ring R: the nilradical and non-nilradical graphs. We examine their connective properties, diameter, and girth in relation to the algebraic properties of R.

Comments

Citation Information

Bishop, A., Cuchta, T., Lokken, K., & Pechenik, O. (2008). The nilradical and non-nilradical graphs of commutative rings. Int. J. Algebra, 2(17-20), 981-994.