On the girth of regular digraph of ideals of an Artinian ring

Let R be a commutative ring. The regular digraph of ideals of R, denoted by Γ(R), is a digraph whose vertex-set is the set of all non-trivial ideals of R and, for every two distinct vertices I and J, there is an arc from I to J, whenever I contains an element x such that xy≠0 for all y∈J. In this ar...

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Bibliographic Details
Main Author: Masoud Karimi
Format: Article
Language:English
Published: Taylor & Francis Group 2015-11-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860015000390