Intersection graphs of co-ideals of semirings

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
Intersection graphs of co-ideals of semirings

Intersection graphs of co-ideals of semirings

Authors : S Ebrahimi ATANİ, Saboura Dolati PİSHHESARİ, Mehdi KHORAMDEL, Zahra Ebrahimi SARVANDİ

Pages : 840-851

Doi:10.31801/cfsuasmas.481603

View : 19 | Download : 9

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :Let R be a semiring with identity. In this paper, we introduce the intersection graph of co-ideals, denoted by Ginsert ignore into journalissuearticles values(R);. The vertices of Ginsert ignore into journalissuearticles values(R); are non-trivial co-ideals of R, and two distinct vertices I and J are adjacent if and only if I∩J≠{1}. The basic properties and possible structures of this graph are studied and the interplay between the algebraic properties of R and the graph-theoretic structure of Ginsert ignore into journalissuearticles values(R); is investigated.
Keywords : Co ideal, intersection graph, I semiring

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