Leila Shahbaz - Department of Mathematics, University of Maragheh, Maragheh ۵۵۱۸۱-۸۳۱۱۱, Iran

A posemigroup S is right po-noetherian if every right S-poset congruence on S is nitely generated.In this paper, we present some fundamental properties of right po-noetherian posemigroups, discuss howposemigroups relate to their substructures with regard to the property of being right po-noetherian, andinvestigate whether this property is preserved under various posemigroup constructions.

S-poset, down closed sub S-poset, po-noetherian