Geodesic
Regular ω-semigroups
Glasgow mathematical journal, Tome 9 (1968) no. 1, pp. 46-66

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

Let S be a semigroup whose set E of idempotents is non-empty. We define a partial ordering ≧ on E by the rule that e ≧ f and only if ef = f = fe. If E = {ei: i∈ N}, where N denotes the set of all non-negative integers, and if the elements of E form the chainthen S is called an ω-semigroup. 
Munn, W. D. Regular ω-semigroups. Glasgow mathematical journal, Tome 9 (1968) no. 1, pp. 46-66. doi: 10.1017/S0017089500000288
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