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∗-congruences on abundant semigroups with SQ-adequate transversals

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Abstract

We give ∗-congruences on an abundant semigroup with an SQ-adequate transversal S ∘ by the ∗-congruence triple abstractly which consists of congruences on the structure component parts L, T and R. We prove that the set of all ∗-congruences on this kind of semigroups is a complete lattice.

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  1. School of Mathematics and Statistics, Chongqing University of Technology, Chongqing, 400054, P.R. China

    Aifa Wang & Lili Wang

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  1. Aifa Wang
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  2. Lili Wang
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Correspondence to Aifa Wang.

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Wang, A., Wang, L. ∗-congruences on abundant semigroups with SQ-adequate transversals. Acta Math Hung 141, 358–365 (2013). https://doi.org/10.1007/s10474-013-0345-5

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  • DOI: https://doi.org/10.1007/s10474-013-0345-5

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