Group Action on the Set of Nonunits in Rings

Let R be a ring, G be the group of all units of R, and X=R−G∪0. In this paper, we investigate avxx∈X=oxx∈X for a ring R, where avx is the set of all vertices of the zero-divisor graph of R adjacent to x. We also investigate the question on zero-divisor graphs posed in the literature such that when t...

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Bibliographic Details
Main Authors: Eman S. Almotairi, M. Imran Bhat, Ahmad M. Alghamdi
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/9711759