Geodesic
Congruences induced by transitive representations of inverse semigroups
Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 21-40

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

Transitive group representations have their analogue for inverse semigroups as discovered by Schein [7]. The right cosets in the group case find their counterpart in the right ω-cosets and the symmetric inverse semigroup plays the role of the symmetric group. The general theory developed by Schein admits a special case discovered independently by Ponizovskiǐ [4] and Reilly [5]. For a discussion of this topic, see [1, §7.3] and [2, Chapter IV]. 
Petrich, Mario; Rankin, Stuart. Congruences induced by transitive representations of inverse semigroups. Glasgow mathematical journal, Tome 29 (1987) no. 1, pp. 21-40. doi: 10.1017/S0017089500006649
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[1] 1.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Vol. II (Amer. Math. Soc., 1967). Google Scholar

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