Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 121-131
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M. E. Dedlovskaya. Isotopes of the free algebra of type $(-1,1)$ with three generators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 121-131. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a9/
@article{FPM_2000_6_1_a9,
author = {M. E. Dedlovskaya},
title = {Isotopes of the~free algebra of type $(-1,1)$ with three generators},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {121--131},
year = {2000},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a9/}
}
TY - JOUR
AU - M. E. Dedlovskaya
TI - Isotopes of the free algebra of type $(-1,1)$ with three generators
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 121
EP - 131
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a9/
LA - ru
ID - FPM_2000_6_1_a9
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%A M. E. Dedlovskaya
%T Isotopes of the free algebra of type $(-1,1)$ with three generators
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 121-131
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%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a9/
%G ru
%F FPM_2000_6_1_a9
This work is devoted to the research of isotopes of algebras of type $(-1,1)$ with three generators. It has been proved that the isotopes of the free algebra of the variety $M_3$ belong to this variety, while the isotopes of an arbitrary algebra from $M_3$ need not even be algebras of type $(-1,1)$.