Congruences on regular semigroups with $Q$-inverse transversals

We give congruences on a regular semigroup with a $Q$-inverse transversal $S^o$ by the congruence pair (abstractly), which consists of congruences on the structural component parts $R$ and $\Lambda$. We prove that the set of all congruences for this kind of semigroups is a complete lattice.

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Bibliographic Details
Date:2016
Main Authors: Wang, A., Wang, L., Ван, А., Ван, Л.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2016
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1884
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal