the small intersection graph relative to multiplication modules

نویسندگان

h. ansari-toroghy

university of guilan f. farshadifar

university of farhangian f. mahboobi-abkenar

university of guilan

چکیده

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 proper 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 this article, we investigate the interplay between the graph-theoretic properties of $g(m)$ and algebraic properties of $m$, where $m$ is a multiplication module.

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عنوان ژورنال:
journal of algebra and related topics

جلد ۴، شماره ۱، صفحات ۲۱-۳۲

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