Geodesic
Naturally ordered bands
Glasgow mathematical journal, Tome 8 (1967) no. 1, pp. 55-58

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

In the terminology of Clifford and Preston [2], a band B is a semigroup in which every element is idempotent. On such a semigroup there is a natural (partial) order relation defined by the ruleIf the order relation ≧ is compatible with the multiplication in B, in the sense that e ≧ f and g ≧ h together imply that eg ≧ fh, we shall say that B is a naturally ordered band. The object of this note is to describe the structure of naturally ordered bands. 
Howie, J. M. Naturally ordered bands. Glasgow mathematical journal, Tome 8 (1967) no. 1, pp. 55-58. doi: 10.1017/S0017089500000082
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