@Article{CMR-33-97, author = {Liu , Jingguo and Zhang , Jinling}, title = {$\cal P$-Congruence-Free Epigroups}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {2}, pages = {97--109}, abstract = {

Let $\cal P$ denote the equivalence relation on an epigroup in which any of its classes consists precisely of those elements owning the same pseudo-inverse. The purpose of the paper is to characterize epigroups on which any  congruence either  contains $\cal P$ or its join with $\mathcal P$ is the identity relation on epigroups. As a special subclass of epigroups, completely 0-simple semigroups having the same property are also described.


}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.02.01}, url = {http://global-sci.org/intro/article_detail/cmr/13410.html} }