%0 Journal Article
%T The small intersection graph relative to multiplication modules
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Ansari-Toroghy, H.
%A Farshadifar, F.
%A Mahboobi-Abkenar, F.
%D 2016
%\ 06/01/2016
%V 4
%N 1
%P 21-32
%! The small intersection graph relative to multiplication modules
%K Graph
%K non-small submodule
%K multiplication module
%R
%X Let $R$ 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 $Ncap K$ 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.
%U https://jart.guilan.ac.ir/article_1778_7982aca1ecb422c8fff44910661d3290.pdf