We look at the structure of a unital right alternative superalgebra of capacity 1 over an algebraically closed field assuming that its even part is finite-dimensional and strongly alternative. It is proved that the condition of being simple for such a superalgebra implies the simplicity of its even part.
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Supported by FAPESP, project No. 2017/04702-5.
Translated from Algebra i Logika, Vol. 59, No. 2, pp. 260-281,March-April, 2020.
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Shashkov, O.V. Right Alternative Superalgebras of Capacity 1 with Strongly Alternative Even Part. Algebra Logic 59, 180–195 (2020). https://doi.org/10.1007/s10469-020-09591-y
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DOI: https://doi.org/10.1007/s10469-020-09591-y