hypersemigroup

English

Etymology

From hyper- +‎ semigroup.

Noun

hypersemigroup (plural hypersemigroups)

1. (mathematics) A nonempty set for which the set of all subsets forms a semiring.
   • 2016, Niovi Kehayopulu, “A characterization of regular, intra-regular, left quasi-regular and semisimple hypersemigroups in terms of fuzzy sets”, in arXiv‎^[1]:

     An hypersemigroup $H$ is left (resp. right) quasi-regular if and only if, for any fuzzy subset $f$ of $S$ we have $f\preceq 1\circ f\circ 1\circ f$ (resp. $f\preceq f\circ 1\circ f\circ 1)$ and it is semisimple if and only if, for any fuzzy subset $f$ of $S$ we have $f\preceq 1\circ f\circ 1\circ f\circ 1$.

Anagrams

• semihypergroup