English

Right noetherian semigroups

Group Theory 2019-09-09 v4

Abstract

A semigroup SS is right noetherian if every right congruence on SS 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.

Keywords

Cite

@article{arxiv.1811.08408,
  title  = {Right noetherian semigroups},
  author = {Craig Miller and Nik Ruskuc},
  journal= {arXiv preprint arXiv:1811.08408},
  year   = {2019}
}
R2 v1 2026-06-23T05:22:33.592Z