The purpose of this paper is to introduce the notion of intersection graphs based on non-
trivial hyperideals in general hyperrings. In order to realise the article's goals, we design …

In this paper, we associate a simple graph to a module over a commutative ring and call it
extended graph, that adjacent condition depends on the properties of annihilator …

Let $ R $ be a commutative ring and $ M $ be an $ R $-module. The intersection graph of
annihilatorsubmodules of $ M $, denoted by ${GA (M)} $, is a simple undirected graph …

Let $ R $ be a commutative ring and $ M $ an $ R $-module. The $ M $-intersection graph of
ideals of $ R $ is an undirected simple graph, denoted by $ G_ {M}(R) $, whose vertices are …

A general hyperring is an algebraic hyperstructure (R,+,.) with two hyperoperation+ and.
such that for all x, y∈ R, x+ y and xy are non-empty subsets of R, and R satisfies the axioms …