In The Graph Based on a Given Ideal of a Ring
friad husen abdulqadr
Zanco Journal of Pure and Applied Sciences · 2019
doi:10.21271/zjpas.31.2.1 (opens in a new tab)
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Abstract
In this paper we introduce a new kind of graph associated with a commutative ring with identity, and we discover some of its characterizations and properties. Let R be a commutative ring with identity and K be a non-trivial ideal of R. The graph-based on an ideal K, denoted by (R), is the undirected graph whose vertices are non-trivial ideals of R and two of its vertices are adjacent if and only if IJ⊂K.
Abstract licence: CC BY
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