Zero-divisor Graphs of Localizations and Modular Rings

Authors

Tom CuchtaFollow
Kathryn A. Lokken
William Young

Document Type

Article

Publication Date

8-2008

Abstract

In this paper, we examine the algebraic properties of localizations of commutative rings and how localizations affect the zero-divisor graph’s structure of modular rings. We also classify the zero-divisor graphs of modular rings with respect to both the diameter and girth of their resultant zero-divisor graphs.

Comments

This article is freely provided by the publisher at https://scholar.rose-hulman.edu/rhumj/vol9/iss2/3/. Copyright © 2008 Rose-Hulman Institute of Technology.

Recommended Citation

Cuchta, T., Lokken, K. A., & Young, W. (2008). Zero-divisor Graphs of Localizations and Modular Rings. Rose-Hulman Undergraduate Mathematics Journal, 9(2), 3.