Geodesic
Varieties of finitely approximable semigroups
Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 349-355 
S. G. Mamikonyan. Varieties of finitely approximable semigroups. Sbornik. Mathematics, Tome 17 (1972) no. 3, pp. 349-355. http://geodesic.mathdoc.fr/item/SM_1972_17_3_a1/
@article{SM_1972_17_3_a1,
     author = {S. G. Mamikonyan},
     title = {Varieties of finitely approximable semigroups},
     journal = {Sbornik. Mathematics},
     pages = {349--355},
     year = {1972},
     volume = {17},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_17_3_a1/}
}
TY  - JOUR
AU  - S. G. Mamikonyan
TI  - Varieties of finitely approximable semigroups
JO  - Sbornik. Mathematics
PY  - 1972
SP  - 349
EP  - 355
VL  - 17
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SM_1972_17_3_a1/
LA  - en
ID  - SM_1972_17_3_a1
ER  - 
%0 Journal Article
%A S. G. Mamikonyan
%T Varieties of finitely approximable semigroups
%J Sbornik. Mathematics
%D 1972
%P 349-355
%V 17
%N 3
%U http://geodesic.mathdoc.fr/item/SM_1972_17_3_a1/
%G en
%F SM_1972_17_3_a1

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we discuss the question of when a variety of commutative or nilpotent semigroups consists only of finitely approximate semigroups. Moreover, we give necessary and sufficient conditions in order to have $\operatorname{Var}S=q\operatorname{Var}S$ (here $\operatorname{Var}S$ denotes the variety generated by the semigroup $S$, and $q\operatorname{Var}S$ the quasivariety generated by $S$). Bibliography: 3 titles.

[1] S. G. Mamikonyan, “Ob approksimatsii polugrupp, udovletvoryayuschikh kommutatornomu usloviyu”, Izv. VUZov, Matematika, 1970, no. 1(92), 70–72

[2] A. Yu. Olshanskii, “Mnogoobraziya finitno-approksimiruemykh grupp”, Izv. AN SSSR, seriya matem., 33 (1969), 915–927

[3] E. S. Lyapin, Polugruppy, Fizmatgiz, Moskva, I960