University of GuilanJournal of Algebra and Related Topics2345-39314120160601The small intersection graph relative to multiplication modules2132177810.22124/jart.2016.1778ENH.Ansari-ToroghyUniversity of GuilanF.FarshadifarUniversity of FarhangianF.Mahboobi-AbkenarUniversity of GuilanJournal Article20160218Let $R$ be a commutative ring and let $M$ be an $R$-module. We define the small intersection graph $G(M)$ of $M$ with all non-small properÂ submodules of $M$ as vertices and two distinct vertices $N, K$ are adjacent if and only if $N\cap K$ is a non-small submodule of $M$. In thisÂ article, we investigate the interplay between the graph-theoretic properties of $G(M)$ and algebraic properties of $M$, where $M$ is a multiplication module.https://jart.guilan.ac.ir/article_1778_7982aca1ecb422c8fff44910661d3290.pdf