Geodesic
On the distributivity of lattices of subvarieties of varieties of alternative algebras
Sbornik. Mathematics, Tome 46 (1983) no. 1, pp. 119-132 
V. D. Martirosyan. On the distributivity of lattices of subvarieties of varieties of alternative algebras. Sbornik. Mathematics, Tome 46 (1983) no. 1, pp. 119-132. http://geodesic.mathdoc.fr/item/SM_1983_46_1_a5/
@article{SM_1983_46_1_a5,
     author = {V. D. Martirosyan},
     title = {On the distributivity of lattices of subvarieties of varieties of alternative algebras},
     journal = {Sbornik. Mathematics},
     pages = {119--132},
     year = {1983},
     volume = {46},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_46_1_a5/}
}
TY  - JOUR
AU  - V. D. Martirosyan
TI  - On the distributivity of lattices of subvarieties of varieties of alternative algebras
JO  - Sbornik. Mathematics
PY  - 1983
SP  - 119
EP  - 132
VL  - 46
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1983_46_1_a5/
LA  - en
ID  - SM_1983_46_1_a5
ER  - 
%0 Journal Article
%A V. D. Martirosyan
%T On the distributivity of lattices of subvarieties of varieties of alternative algebras
%J Sbornik. Mathematics
%D 1983
%P 119-132
%V 46
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1983_46_1_a5/
%G en
%F SM_1983_46_1_a5

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

Lattices of subvarieties of varieties of linear algebras over a field of characteristic zero are studied. The varieties of alternative algebras with distributive lattices of subvarieties are described. Bibliography: 7 titles.

[1] Artamonov V. A., “Reshetki mnogoobrazii lineinykh algebr”, UMN, 33:2 (208) (1978), 135–167 | MR | Zbl

[2] Ananin A. Z., Kemer A. R., “Mnogoobraziya assotsiativnykh algebr, reshetki podmnogoobrazii kotorykh distributivny”, Sib. matem. zh., 17:4 (1978), 723–730 | MR

[3] Dnestrovskaya tetrad, Institut matematiki SO AN SSSR, Novosibirsk, 1976

[4] Kertis Ch., Rainer I., Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Nauka, M., 1969 | MR

[5] Zhevlakov K. A., Slinko A. M., Shestakov I. P., Shirshov A. I., Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR | Zbl

[6] Maltsev A. I., “Ob algebrakh s tozhdestvennymi opredelyayuschimi sootnosheniyami”, Matem. sb., 26(68) (1950), 19–33 | MR

[7] Robinson G. de B., Representation theory of the symmetric group, Univ. of Toronto Press, Toronto, 1961 | MR | Zbl