Total graph of a module with respect to singular submodule
نویسندگان
چکیده
منابع مشابه
A module theoretic approach to zero-divisor graph with respect to (first) dual
Let $M$ be an $R$-module and $0 neq fin M^*={rm Hom}(M,R)$. We associate an undirected graph $gf$ to $M$ in which non-zero elements $x$ and $y$ of $M$ are adjacent provided that $xf(y)=0$ or $yf(x)=0$. Weobserve that over a commutative ring $R$, $gf$ is connected anddiam$(gf)leq 3$. Moreover, if $Gamma (M)$ contains a cycle,then $mbox{gr}(gf)leq 4$. Furthermore if $|gf|geq 1$, then$gf$ is finit...
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ژورنال
عنوان ژورنال: Arab Journal of Mathematical Sciences
سال: 2016
ISSN: 1319-5166
DOI: 10.1016/j.ajmsc.2015.10.002