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A lattice-ordered monoid on multilayer networks
Published 31 Aug 2023 in math.AC, math.GR, and math.OA | (2308.16630v1)
Abstract: In the present paper we introduce a lattice-ordered partial monoid structure on a suitable set of multilayer networks. We first study a kind of mappings that preserve the partial order and describe the order structure. After that we define the lattice-ordered monoid and deduce the main properties. lattice-ordered monoid, multilayer network, interior mapping, partial operation.
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