Geodesic
Principally ordered regular semigroups
Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 349-364

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

An ordered semigroup S will be called principally ordered if, for every x ɛ S, there existsx* = max {y ɛ S; xyx ≤ x}.Here we shall be concerned with the case where S is regular. We begin by listing some basic properties that arise from the above definition. As usual, we shall denote by V(x) the set of inverses of x ɛ S. 
Blyth, T. S.; Pinto, G. A. Principally ordered regular semigroups. Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 349-364. doi: 10.1017/S0017089500009435
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