P-congruence-free Epigroups |
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Authors: | LIU JING-GUO ZHANG JIN-LING |
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Institution: | 1. School of Mathematics and Statistics, Linyi University, Linyi, Shandong, 276005;2. Lanshan Education and Physical Education Bureau, Linyi, Shandong, 276005 |
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Abstract: | Let 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 P or its join with P is the identity relation on epigroups. As a special subclass of epigroups, completely 0-simple semigroups having the same property are also described. |
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Keywords: | congruence epigroup completely 0-simple semigroup 2010 MR sub ject classification: 20M10 |
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