In The Graph Based on a Given Ideal of a Ring
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2019
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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.
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abdulqadr2019inzanco
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| Authors | abdulqadr, friad husen; |
| Journal | zanco journal of pure and applied sciences |
| Year | 2019 |
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