Article
Zero-divisor Graphs of Localizations and Modular Rings
Mathematics Faculty Research
Document Type
Article
Publication Date
8-1-2008
Disciplines
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.
Citation Information
Cuchta, T., Lokken, K. A., & Young, W. (2008). Zero-divisor Graphs of Localizations and Modular Rings. Rose-Hulman Undergraduate Mathematics Journal, 9(2), 3.
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.