This paper shows that many results on hypersemigroups do not need any proof as can be obtained from lattice ordered semigroups.
$le$-Semigroup, hypersemigroup, regular, intraregular, right (left) ideal element, bi-ideal element, quasi-ideal element, right (left) ideal, bi-ideal, quasi-ideal
"Lattice ordered semigroups and hypersemigroups,"
Turkish Journal of Mathematics: Vol. 43:
5, Article 49.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss5/49