2017
Том 69
№ 9

All Issues

Congruences on regular semigroups with $Q$-inverse transversals

Wang A., Wang L.


Abstract

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.

Citation Example: Wang A., Wang L. Congruences on regular semigroups with $Q$-inverse transversals // Ukr. Mat. Zh. - 2016. - 68, № 6. - pp. 853-859.