Article
Good congruences on weakly U-abundant semigroups
Authors
, and
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.
Keywords
weakly U-abundant semigroup, Ehresmann transversal, congruence, equivalence triple, 20M10
Citation
Wang, A., Li, Y., & Wang, L. (2021). Good congruences on weakly u-abundant semigroups. Applied Mathematics and Nonlinear Sciences, 6(2), 2357–2366. https://doi.org/10.2478/amns.2021.2.00193
A. Wang, Y. Li and L. Wang, “Good congruences on weakly u-abundant semigroups,” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 2, pp. 2357–2366, 2021, doi: 10.2478/amns.2021.2.00193.
Wang A, Li Y, Wang L. Good congruences on weakly u-abundant semigroups. Applied Mathematics and Nonlinear Sciences. 2021;6(2):2357–2366. doi:10.2478/amns.2021.2.00193.
Wang, A., Li, Y. and Wang, L. (2021), ‘Good congruences on weakly u-abundant semigroups’, Applied Mathematics and Nonlinear Sciences, 6(2), pp. 2357–2366. Available at: https://doi.org/10.2478/amns.2021.2.00193.
Wang, Aifa, et al. “Good Congruences on Weakly U-abundant Semigroups.” Applied Mathematics and Nonlinear Sciences, vol. 6, no. 2, 2021, pp. 2357–2366. https://doi.org/10.2478/amns.2021.2.00193.
Wang, Aifa, Yiwen Li, and Lili Wang. “Good Congruences on Weakly U-abundant Semigroups.” Applied Mathematics and Nonlinear Sciences 6, no. 2 (2021): 2357–2366. https://doi.org/10.2478/amns.2021.2.00193.
Export citation
Published by: Engineering Journals
