Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 453-468
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A. A. Zolotykh. Commutation factors and varieties of associative algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 453-468. http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a7/
@article{FPM_1997_3_2_a7,
author = {A. A. Zolotykh},
title = {Commutation factors and varieties of associative algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {453--468},
year = {1997},
volume = {3},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a7/}
}
TY - JOUR
AU - A. A. Zolotykh
TI - Commutation factors and varieties of associative algebras
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1997
SP - 453
EP - 468
VL - 3
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a7/
LA - ru
ID - FPM_1997_3_2_a7
ER -
%0 Journal Article
%A A. A. Zolotykh
%T Commutation factors and varieties of associative algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1997
%P 453-468
%V 3
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a7/
%G ru
%F FPM_1997_3_2_a7
A description of all pairwise nonequivalent nondegenerate commutation factors on finite Abelian groups is given. For each such commutation factor over a field of characteristic zero the variety of associative algebras which is generated by the algebra of $\varepsilon$-commutative polynomials is found.
