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A graph with respect to idempotents of a ring
Journal of Algebra and Its Applications ( IF 0.5 ) Pub Date : 2020-07-28 , DOI: 10.1142/s021949882150105x
Somayyeh Razaghi 1 , Shervin Sahebi 1
Affiliation  

Let R be a ring with nonzero identity. The Idempotent graph of R, denoted by GId(R), has its set of vertices equal to the set of all elements of R; Distinct vertices x and y are adjacent if and only if x + y is an idempotent of R. In this paper, we study some basic properties of GId(R) such as connectedness, diameter and girth.

中文翻译:

关于环的幂等的图

R是一个非零标识的环。这幂等图R,表示为GID(R), 其顶点集等于所有元素的集R; 不同的顶点X是的相邻当且仅当X + 是的是幂等的R. 在本文中,我们研究了一些基本属性GID(R)例如连通性、直径和周长。
更新日期:2020-07-28
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