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Fundam. Prikl. Mat., 2020 Volume 23, Issue 3, Pages 201–213 (Mi fpm1903)

One-sided isotopes and homotopes of right-alternative algebras

A. A. Krylov

School No. 1535, Moscow, Russia

Abstract: It is proved that every $c$-homotope preserves identical equations for the four-dimensional Mikheev algebra. Moreover, all isomorphisms for the four-dimensional Mikheev algebra and its $c$-isotope are described. It is proved that every central $c$-isotope of the Hentzel algebra is isomorphic to the Hentzel algebra. One-sided isotopic pairs are described.

UDC: 512.554


 English version:
Journal of Mathematical Sciences (New York), 2023, 269:3, 402–410


© Steklov Math. Inst. of RAS, 2024