The nilradical and non-nilradical graphs of commutative rings

Authors

Abigail Bishop
Tom Cuchta, Marshall UniversityFollow
Kathryn Lokken
Oliver Pechenik

Document Type

Article

Publication Date

2008

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

Copyright © 2008 Hikari Ltd.

Recommended Citation

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.