A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
Publish place: Journal of Algebraic Systems، Vol: 7، Issue: 2
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-7-2_003
تاریخ نمایه سازی: 18 آذر 1398
Abstract:
In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$. The vertices of this graph are non-trivial ideals of $R$ and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=Icap J$. We obtain some properties of this graph and study its relation to the structure of $R$.
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Authors
H. Dorbidi
Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box ۷۸۶۷۱-۶۱۱۶۷, Jiroft, Iran.
S. Alikhani
Department of Mathematics, Yazd University, ۸۹۱۹۵-۷۴۱, Yazd, Iran.