Ideal based hypergraph of a commutative ring

Abstract

Let R be a commutative ring and k an integer strictly greater than 2. The k-maximal ideal hypergraph to R with vertex set the set of all k-maximal ideals in R and for distinct ideals I1, in the set is an edge of if and only if and the sum of any elements of is not equal to R. This article analyses some basic properties of and we have shown that is connected with diameter at most 2. Also, we discuss about the planarity and isomorphism of

Keywords

• co-maximal ideal graph
• k-maximal ideal hypergraph
• complete
• planar