The Armendariz Graph of a Ring

In this paper we initiate the study of Armendariz graph of a commutative ring R and investigate the basic properties of this graph such as diameter, girth, domination number, etc. The Armendariz graph of a ring R, denoted by A(R), is an undirected graph with nonzero zero-divisors of R[x] (i.e., Z(R[...

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Bibliographic Details
Main Authors: Abdioğlu Cihat, Çelikel Ece Yetkin, Das Angsuman
Format: Article
Language:English
Published: University of Zielona Góra 2018-12-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1292