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A GENERALIZED IDEAL BASED-ZERO DIVISOR GRAPHS OF NEAR-RINGS
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 Title & Authors
A GENERALIZED IDEAL BASED-ZERO DIVISOR GRAPHS OF NEAR-RINGS
Dheena, Patchirajulu; Elavarasan, Balasubramanian;
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 Abstract
In this paper, we introduce the generalized ideal-based zero-divisor graph structure of near-ring N, denoted by . It is shown that if I is a completely reflexive ideal of N, then every two vertices in are connected by a path of length at most 3, and if contains a cycle, then the core K of is a union of triangles and rectangles. We have shown that if is a bipartite graph for a completely semiprime ideal I of N, then N has two prime ideals whose intersection is I.
 Keywords
ideal-based zero-divisor graph;diameter;near-ring;ideal and cycle;
 Language
English
 Cited by
1.
On generalized zero divisor graph of a poset, Discrete Applied Mathematics, 2013, 161, 10-11, 1490  crossref(new windwow)
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