domination number of total graph of module
نویسندگان
چکیده
let $r$ be a commutative ring and $m$ be an $r$-module with $t(m)$ as subset, the set of torsion elements. the total graph of the module denoted by $t(gamma(m))$, is the (undirected) graph with all elements of $m$ as vertices, and for distinct elements $n,m in m$, the vertices $n$ and $m$ are adjacent if and only if $n+m in t(m)$. in this paper we study the domination number of $t(gamma(m))$ and investigate the necessary conditions for being $mathbb{z}_{n}$ as module over $mathbb{z}_{m}$ and we find the domination number of $t(gamma(mathbb{z}_{n}))$.
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عنوان ژورنال:
algebraic structures and their applicationsناشر: yazd university
ISSN 2382-9761
دوره
شماره Articles in Press 2015
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