Geodesic
Finitely approximable regular semigroups
Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 423-432 
È. A. Golubov. Finitely approximable regular semigroups. Matematičeskie zametki, Tome 17 (1975) no. 3, pp. 423-432. http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a8/
@article{MZM_1975_17_3_a8,
     author = {\`E. A. Golubov},
     title = {Finitely approximable regular semigroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {423--432},
     year = {1975},
     volume = {17},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_3_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this note it is proved that a regular semigroup whose subgroups are all finitely approximable is finitely approximable and that the set of idempotents of each principal factor is finite. As a corollary necessary and sufficient conditions are found for certain classes of regular semigroups to be finitely approximable.