Browsing by Author "KHORAMDEl, Mehdi"

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    Intersection graphs of co-ideals of semirings
    (Ankara Üniversitesi Fen Fakültesi, 2019-02-01) Atani, S. Ebrahimi; PİSHHESARİ, Saboura Dolati; KHORAMDEl, Mehdi; Zahra Ebrahimi SARVANDİ, Zahra Ebrahimi; Other; Other
    Let R be a semiring with identity. In this paper, we introduce the intersection graph of co-ideals, denoted by G(R). The vertices of G(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 G(R) is investigated.