Title

Zero-divisor graphs of idealizations

Department/School

Mathematics

Date

2-1-2006

Document Type

Article

Keywords

zero-divisors, finite commutative rings, graphs

Abstract

We consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the preservation, or lack thereof, of the diameter and girth of the zero-divisor graph of a ring when extending to idealizations of the ring.

Published in

Journal of Pure and Applied Algebra

Citation/Other Information

Axtell, M., & Stickles, J. (2006). Zero-divisor graphs of idealizations. Journal of Pure and Applied Algebra, 204(2), 235–243. https://doi.org/10.1016/j.jpaa.2005.04.004

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