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Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

INTERSECTION GRAPHS OF CO-IDEALS OF SEMIRINGS

Shahabaddin Ebrahimi Atani, Saboura Dolati Pishhesari, Mehdi Khoramdel, Zahra Ebrahimi Sarvandi

Pages
840–851
DOI
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Abstract

Let R be a semiring with identity. In this paper, we introduce theintersection graph of co-ideals, denoted by G(R). The vertices of G(R) arenon-trivial co-ideals of R, and two distinct vertices I and J are adjacent if andonly if I J 6= f1g. The basic properties and possible structures of this graphare studied and the interplay between the algebraic properties of R and thegraph-theoretic structure of G(R) is investigated.