Remarks on special congruences
Rings and Algebras
2022-03-31 v1
Abstract
We study algebras and varieties where every non-trivial congruence has some class being a non-trivial subuniverse of the algebra in question. Then we focus on algebras where this non-trivial class is a unique non-singleton class of the congruence. In particular, we investigate Rees algebras, quasi-Rees algebras and algebras having the one-block-property. We also present results concerning these properties on quotient algebras. Several examples of such algebras and varieties are included.
Cite
@article{arxiv.2203.15871,
title = {Remarks on special congruences},
author = {Ivan Chajda and Helmut Länger},
journal= {arXiv preprint arXiv:2203.15871},
year = {2022}
}