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- W2517177654 abstract "Let $M$ be a module over a commutative ring and let $Spec (M)$ be the collection of all prime submodules of $M$. We topologize $Spec (M)$ with quasi-Zariski topology and, for a subset $T$ of $Spec (M)$, we introduce a new graph $G(tau ^{*}_{T})$, called the textit {quasi-Zariski topology-graph}. It helps us to study algebraic (respectively, topological) properties of $M$ (respectively, $Spec (M)$) by using graph theoretical tools. Also, we study the annihilating-submodule graph and investigate the relation between these two graphs." @default.
- W2517177654 created "2016-09-16" @default.
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- W2517177654 date "2016-06-01" @default.
- W2517177654 modified "2023-10-14" @default.
- W2517177654 title "On the graph of modules over commutative rings" @default.
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- W2517177654 doi "https://doi.org/10.1216/rmj-2016-46-3-729" @default.
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