Coherency and constructions for monoids
Group Theory
2020-09-15 v3
Abstract
A monoid is right coherent if every finitely generated subact of every finitely presented right -act is finitely presented. This is a finiteness condition, and we investigate whether or not it is preserved under some standard algebraic and semigroup theoretic constructions: subsemigroups, homomorphic images, direct products, Rees matrix semigroups, including Brandt semigroups, and Bruck--Reilly extensions. We also investigate the relationship with the property of being weakly right noetherian, which requires all right ideals of to be finitely generated.
Cite
@article{arxiv.1906.05515,
title = {Coherency and constructions for monoids},
author = {Yang Dandan and Victoria Gould and Miklos Hartmann and Nik Ruskuc and Rida-E Zenab},
journal= {arXiv preprint arXiv:1906.05515},
year = {2020}
}