The large sum graph related to comultiplication modules
Abstract
Let R be a commutative ring and M be an R-module. We define the large sum graph, denoted by G(M), as a graph with the vertex set of non-large submodules of M and two distinct vertices are adjacent if and only if N + K is a non-large submodule of M. In this article, we investigate the connection between the graph-theoretic properties of G(M) and some algebraic properties of M when M is a comultiplication R-module.
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