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Good congruences on weakly U-abundant semigroups

Aifa Wang

Aifa Wang

School of Science, Chongqing University of TechnologyChongqing, People’s Republic of China
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Wang, Aifa
, 
Yiwen Li

Yiwen Li

School of Science, Chongqing University of TechnologyChongqing, People’s Republic of China
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Li, Yiwen
 and 
Lili Wang

Lili Wang

School of Science, Chongqing University of TechnologyChongqing, People’s Republic of China
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Wang, Lili
  
May 20, 2022
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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
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© 2023 Aifa Wang et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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.

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Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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