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One-Sided Isotopes and Homotopes of Right-Alternative Algebras

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Abstract

It is proved that every c-homotope preserves identical equalities 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.

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Authors and Affiliations

  1. School No. 1535, Moscow, Russia

    A. A. Krylov

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  1. A. A. Krylov
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Correspondence to A. A. Krylov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 23, No. 3, pp. 201–213, 2020.

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Krylov, A.A. One-Sided Isotopes and Homotopes of Right-Alternative Algebras. J Math Sci 269, 402–410 (2023). https://doi.org/10.1007/s10958-023-06288-2

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