Craig Miller

activity

20182026

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5 papers · 1 filter

math.GR2026

Howson property and finitely generated intersection problem for monogenic inverse semigroups

Jung Won Cho, Craig Miller, Nik Ruškuc

An algebraic structure is said to have the Howson property if the intersection of any two finitely generated subalgebras is finitely generated. We explore the Howson property in th…

math.GR2025

On minimal conditions in semigroups and biacts

Craig Miller

We systematically study the minimal conditions on $L$ -, $R$ - and $J$ -classes, denoted by $M_{L}$ , $M_{R}$ and $M_{J}$ , as well as the related notions of lef…

math.GR2020

Semigroups for which every right congruence of finite index is finitely generated

Craig Miller

We call a semigroup $S$ f-noetherian if every right congruence of finite index on $S$ is finitely generated. We prove that every finitely generated semigroup is f-noetherian, and i…

math.GR2018

Right noetherian semigroups

Craig Miller, Nik Ruskuc

A semigroup $S$ is right noetherian if every right congruence on $S$ is finitely generated. In this paper we present some fundamental properties of right noetherian semigroups, dis…

math.GR2018

Generators and presentations for direct and wreath products of monoid acts

Craig Miller

We investigate the preservation of the properties of being finitely generated and finitely presented under both direct and wreath products of monoid acts. A monoid $M$ is said to p…