Meanings
plural hypersemigroups
- mathematicsA nonempty set for which the set of all subsets forms a semiring.
1 more example
An hypersemigroup H is left (resp. right) quasi-regular if and only if, for any fuzzy subset f of S we have f#92;preceq 1#92;circf#92;circ 1#92;circf (resp. f#92;preceqf#92;circ 1#92;circf#92;circ 1) and it is semisimple if and only if, for any fuzzy subset f of S we have f#92;preceq 1#92;circf#92;circ 1#92;circf#92;circ 1.
2016, Niovi Kehayopulu, “A characterization of regular, intra-regular, left quasi-regular and semisimple hypersemigroups in terms of fuzzy sets”, in arXiv
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Cite this entry
hypersemigroup. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/hypersemigroup
“hypersemigroup.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hypersemigroup. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “hypersemigroup,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/hypersemigroup.
Source: hypersemigroup on Wiktionary, CC BY-SA 4.0.