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Dictionary

Words, grammatical forms and meanings linked to the ontology.

hypersemigroup en · NOUN

Etymology

From hyper- + semigroup.

Meanings

  1. A nonempty set for which the set of all subsets forms a semiring.
    • 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:

Forms

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hypersemigroups Number=Plur lexicographic