2022
DOI: 10.2478/auom-2022-0013
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On characterization of finite modules by hypergraphs

Abstract: With a finite R-module M we associate a hypergraph 𝒞𝒥ℋ R (M) having the set V of vertices being the set of all nontrivial submodules of M. Moreover, a subset Ei of V with at least two elements is a hyperedge if for K, L in Ei there is K ∩ L ≠ = 0 and Ei is maximal with respect to this property. We investigate some general properties of 𝒞𝒥ℋ R (M), providing condition under w… Show more

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