An ideal-based cozero-divisor graph of a commutative ring
Let $R$ be a commutative ring and let $I$ be an ideal of $R$. In this paper, we introduce the cozero-divisor graph $\acuteΓ_I(R)$ of $R$ and obtain some related results.
math.AC↗
arXiv subjects
F. Mahboobi-Abkenar
Publications and source records attributed to F. Mahboobi-Abkenar.
The large sum graph related to comultiplication modules
Let R be a commutative ring and M be an R-module. We define the large sum graph, denoted by \acute{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 \acute{G}(M) and some algebraic properties of M when M is a comultiplication R-module.
math.AC↗