Geodesic
One-sided isotopes of finite-dimensional algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2021) no. 4, pp. 3-16

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

It is shown that the right isotopes of finite-dimensional $(-1,1)$-algebras cannot be reduced to left isotopes. It is proved that no unital isotope of the Mikheev algebra is a left alternative algebra. In particular, the opposite algebra, generally speaking, is not an isotope of the original algebra. 
@article{FPM_2021_23_4_a0,
     author = {L. R. Borisova and V. I. Glizburg and S. V. Pchelintsev},
     title = {One-sided isotopes of finite-dimensional algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {3--16},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2021_23_4_a0/}
}
TY  - JOUR
AU  - L. R. Borisova
AU  - V. I. Glizburg
AU  - S. V. Pchelintsev
TI  - One-sided isotopes of finite-dimensional algebras
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2021
SP  - 3
EP  - 16
VL  - 23
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2021_23_4_a0/
LA  - ru
ID  - FPM_2021_23_4_a0
ER  - 
%0 Journal Article
%A L. R. Borisova
%A V. I. Glizburg
%A S. V. Pchelintsev
%T One-sided isotopes of finite-dimensional algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2021
%P 3-16
%V 23
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2021_23_4_a0/
%G ru
%F FPM_2021_23_4_a0
L. R. Borisova; V. I. Glizburg; S. V. Pchelintsev. One-sided isotopes of finite-dimensional algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2021) no. 4, pp. 3-16. http://geodesic.mathdoc.fr/item/FPM_2021_23_4_a0/