Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 8-11
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I. Z. Golubchik; A. V. Mikhalev. On varieties of algebras with semigroup identity. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 8-11. http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a2/
@article{VMUMM_1982_2_a2,
author = {I. Z. Golubchik and A. V. Mikhalev},
title = {On varieties of algebras with semigroup identity},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {8--11},
year = {1982},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a2/}
}
TY - JOUR
AU - I. Z. Golubchik
AU - A. V. Mikhalev
TI - On varieties of algebras with semigroup identity
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 8
EP - 11
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a2/
LA - ru
ID - VMUMM_1982_2_a2
ER -
%0 Journal Article
%A I. Z. Golubchik
%A A. V. Mikhalev
%T On varieties of algebras with semigroup identity
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 8-11
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a2/
%G ru
%F VMUMM_1982_2_a2
It is shown that a variety $\mathfrak{M}$ of algebras over a field $F$ of characteristic zero satisfies a semigroup identity if and only if $\mathfrak{M}$ does not contain the algebra of the two by-two upper triangular matrices over $F$. We prove that these varieties are Specht.
