Geodesic
The Least Commutative Congruence on a simple regular ω-semigroup†
Glasgow mathematical journal, Tome 32 (1990) no. 1, pp. 13-23

Voir la notice de l'article provenant de la source Cambridge University Press

Piochi in [10] gives a description of the least commutative congruence γ of an inverse semigroup in terms of congruence pairs and generalizes to inverse semigroups the notion of solvability. The object of this paper is to give an explicit construction of λ for simple regular ω-semigroups exploiting the work of Baird on congruences on such semigroups. Moreover the connection between the solvability classes of simple regular ω-semigroups and those of their subgroups is studied. 
Bonzini, C.; Cherubini, A.; Piochi, B. The Least Commutative Congruence on a simple regular ω-semigroup†. Glasgow mathematical journal, Tome 32 (1990) no. 1, pp. 13-23. doi: 10.1017/S0017089500009022
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