2020•arXiv (Cornell University)Open access

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

D. Craig Miller

Abstract

We call a semigroup $S$ f-noetherian if every right congruence of finite\nindex on $S$ is finitely generated. We prove that every finitely generated\nsemigroup is f-noetherian, and investigate whether the properties of being\nf-noetherian and being finitely generated coincide for various semigroup\nclasses.\n

Open-access reader

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Noetherian, Mathematics, Congruence (geometry), Finitely-generated abelian group, Semigroup, Pure mathematics, Stallings theorem about ends of groups, Discrete mathematics