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Good congruences on weakly ample semigroups

ABSTRACT
The concept of normal congruence on a weakly ample semigroup S is introduced and the maximum and minimum admissible congruences whose trace is the normal congruence on a weakly ample semigroup S are characterized in this paper. Some results about congruences on ample semigroups are generalized to weakly ample semigroups.
KEYWORDS
PAPER SUBMITTED: 2020-04-20
PAPER REVISED: 2020-06-13
PAPER ACCEPTED: 2020-06-15
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200420043G
REFERENCES
  1. Lawson M. V., Ress matrix semigroups, Proc. Edinb. Math. Soc., 33(1990), pp. 23-27.
  2. Preston G. B., Inverse semigroup, London. Math. Soc., 29(1954), pp. 396-403.
  3. Howie J. M., The maximum idempotent-separating congruence on an inverse semigroup, Proc. Edinb. Math. Soc., 14(1964), pp. 71-79.
  4. Petrich M., Congruences on inverse semigroups, Journal of Algebra, 1978, 55: 231- 256.
  5. Fountain J. B., Adequate semigroups, Proc. Edinb. Math. Soc., 22(1979), pp. 113-125.
  6. El-qallali A., Congruences on Ample semigroup, Semigroup Forum, 99(2019), 3, pp. 607-631.
  7. Fountain J. B., Gomes G. M. S., Gould V., A Munn type representation for a class of E-semiadequate semigroups, Journal of Algebra, 218(1999), pp. 693-714.
  8. Feng, Y.Y., et al. Semigroups of stochastic gradient descent and online principal component analysis: Properties and diffusion approximations, Commun. Math. Sci., 16(2018), 3. pp.777-789
  9. Keyantuo, V., et al. A Gevrey class semigroup for a thermoelastic plate model with a fractional Laplacian: Between the Euler-Bernoulli and Kirchhoff models, Discrete and Continuous Dynamical Systems, 40(2020), 5, pp. 2875-2889
  10. He, J. H., Fractal calculus and its geometrical explanation. Results in Physics, 2018, 10: 272-276
  11. He, J.H., Ain, Q.T. New promises and future challenges of fractal calculus: from two-scale thermodynamics to fractal variational principle, Thermal Science, 24(2020), 2A, pp. 659-681