Geodesic
Congruences on Completely Regular Semigroups
Canadian journal of mathematics, Tome 41 (1989) no. 3, pp. 439-461

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

There are two subjects in the literature on semigroups which have recently attracted great attention: the class of completely regular semigroups (that is semigroups which are unions of their subgroups) and congruences on regular semigroups. In completely regular semigroups, the most popular subject is that of varieties, even though other aspects of them, such as structure, congruences, amalgamation, received their due attention. On the other hand, the treatment of congruences on regular semigroups became especially interesting with the emergence of the kernel-trace approach. This method proved quite successful in the case of inverse semigroups, see [6], whereas the analysis for the general regular semigroups encounters considerable difficulties, see [4]. 
Petrich, Mario. Congruences on Completely Regular Semigroups. Canadian journal of mathematics, Tome 41 (1989) no. 3, pp. 439-461. doi: 10.4153/CJM-1989-020-6
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