A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING

In this paper we introduce and study a graph on the set of ideals of a<br /> commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$ and<br /> two distinct ideals $I$ and $J$ are adjacent if and only $IJ=Icap J$. We<br /> obtain some properties of this graph...

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Bibliographic Details
Main Authors: H. Dorbidi, S. Alikhani
Format: Article
Language:English
Published: Shahrood University of Technology 2020-01-01
Series:Journal of Algebraic Systems
Subjects:
Online Access:http://jas.shahroodut.ac.ir/article_1585_0115d6f468b7fb69d3639428ff331638.pdf