L. R. Borisova, V. I. Glizburg, S. V. Pchelintsev, “One-sided isotopes of finite-dimensional algebras”, Fundam. Prikl. Mat., 2021, Volume 23, Issue 4,Pages <nobr>3

One-sided isotopes of finite-dimensional algebras

L. R. Borisova^a, V. I. Glizburg^b, S. V. Pchelintsev^a

^a Financial University under the Government of the Russian Federation, Moscow, Russia
^b Moscow City Pedagogical University, Moscow, Russia

Abstract: 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.

UDC: 512.554