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عنوان
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Sum-hypergraph on modules
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نوع پژوهش
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مقاله ارائه شده
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کلیدواژهها
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small submodule, semisimple module, hyperedge, sum-hypergraph
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چکیده
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Let P be an R-module. We define a hypergraph on P where the vertices are all nontrivial submodules of P and a set Wi (such that | Wi |≥ 2) of nontrivial submodules of P forms a hyperedge provided the sum of each two distinct elements of Wi is equal to P and Wi is maximal with respect to this property. We denote such hypergraph via SUMR(P). Some general properties of such hypergraphs are considered.
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پژوهشگران
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بهروز حسینی سنگ نو (نفر دوم)، علیرضا منیری حمزه کلایی (نفر اول)
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