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On the graph of modules over commutative rings - MaRDI portal

On the graph of modules over commutative rings (Q315362)

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scientific article; zbMATH DE number 6628753
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English
On the graph of modules over commutative rings
scientific article; zbMATH DE number 6628753

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    On the graph of modules over commutative rings (English)
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    21 September 2016
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    The authors introduced the notion of quasi-Zariski topology-graph and investigate some general properties of it. For example, they show that the quasi-Zariski topology-graph is connected and they find the diam of the graph. They start by the introduction of preliminaries terms and notations of graph theory and topology. They study the annihilating-submodule graph and finally, author find some relationship between these two graphs.
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    prime submodule
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    top module
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    quasi-Zariski topology
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    graph
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    vertices
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    annihilating-submodule
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