- 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 : 18 | 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