Congruences on regular semigroups with $Q$-inverse transversals

• Datum: 2016
• Hauptverfasser: Wang, A., Wang, L., Ван, А., Ван, Л.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1884
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.