<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we study the congruences on w-U-a semigroups with s-transversals. The g-congruences on a w-U-a semi-group with an s-transversal <italic>TV</italic> are described abstractly by the e-triple, which consists of equivalences on the structure component parts I, T and Λ. Also, it is shown that the set of all g-congruences on this kind of semigroups forms a complete lattice.</p>
</abstract>

In this paper, we study the congruences on w-U-a semigroups with s-transversals. The g-congruences on a w-U-a semi-group with an s-transversal TV are described abstractly by the e-triple, which consists of equivalences on the structure component parts I, T and Λ. Also, it is shown that the set of all g-congruences on this kind of semigroups forms a complete lattice.

Good congruences on weakly U-abundant semigroups

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Good congruences on weakly U-abundant semigroups"}

In this paper, we study the congruences on w-U-a semigroups with s-transversals. The g-congruences on a w-U-a semi-group with an s-transversal TV are described...

Good congruences on weakly U-abundant semigroups

Published Online: May 20, 2022

Page range: 2357 - 2366

Received: Nov 17, 2021

Accepted: Apr 10, 2022

DOI: https://doi.org/10.2478/amns.2021.2.00193

Keywords
weakly U-abundant semigroup, Ehresmann transversal, congruence, equivalence triple

© 2023 Aifa Wang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Good congruences on weakly U-abundant semigroups

Published Online: May 20, 2022

Page range: 2357 - 2366

Received: Nov 17, 2021

Accepted: Apr 10, 2022

DOI: https://doi.org/10.2478/amns.2021.2.00193

Keywordsweakly U-abundant semigroup, Ehresmann transversal, congruence, equivalence triple

© 2023 Aifa Wang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
weakly U-abundant semigroup, Ehresmann transversal, congruence, equivalence triple