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David F. Anderson, Shahabaddin Ebrahimi Atani, M. Shajari Kohan, Z Ebrahimi Sarvandi

Type: Paratext

Publication Date: 2014-06-01

Citations: 1

DOI: https://doi.org/10.5644/sjm.10.1.00

Abstract

Let I be a proper ideal of a commutative ring R with 1 = 0.The ideal-based zero-divisor graph of R with respect to I, denoted by ΓI (R), is the (simple) graph with vertices { x ∈ R \ I | xy ∈ I for some y ∈ R \ I }, and distinct vertices x and y are adjacent if and only if xy ∈ I.In this paper, we study ΓI (R) for commutative rings R such that R/I is a chained ring.

Locations

SARAJEVO JOURNAL OF MATHEMATICS - View - PDF

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+	Recurrence analysis on Julia sets of semigroups of complex polynomials	2013	Gerardo Chacón Renato Colucci Daniele D’Angeli

Works Cited by This (9)

Action	Title	Year	Authors
+	The Zero-Divisor Graph of a Commutative Ring	1999	David F. Anderson Philip S. Livingston
+	An Ideal-Based Zero-Divisor Graph of a Commutative Ring	2003	Shane P. Redmond
+	Coloring of commutative rings	1988	István Beck
+	Julia sets of rational semigroups	1996	A. Hinkkanen Gaven Martin
+	The total graph of a commutative ring	2008	David F. Anderson Ayman Badawı
+	Recurrence analysis on Julia sets of semigroups of complex polynomials	2013	Gerardo Chacón Renato Colucci Daniele D’Angeli
+ PDF Chat	The Julia set of a random iteration system	2000	Ji Zhou
+	On the zero-divisor graph of a commutative ring	2003	Saieed Akbari Abdolmajid Mohammadian
+	Zero-divisor graphs in commutative rings	2010	David F. Anderson Michael Axtell Joe Stickles