Semilattice relations on a semihypergroup

Abstract

In this paper, we give a unified method for constructing commutative relations, band relations and semilattice relations on a semihypergroup. Moreover, we show that the set of all commutative relations, the set of all band relations and the set of all semilattice relations on a semihypergroup are complete lattices.

Keywords

• semihypergroup
• commutative relation
• band relation
• semilattice relation
• complete lattice