Right noetherian semigroups
Craig J. Miller, Nik Ruškuc · International Journal of Algebra and Computation · 2019
A semigroup [Formula: see text] is right noetherian if every right congruence on [Formula: see text] is finitely generated. In this paper, we present some fundamental properties of right noetherian semigroups, discuss how semigroups relate to their substructures with regard to the property of being right noetherian, and investigate whether this property is preserved under various semigroup constructions.