Abstract
We prove that a simple finite-dimensional unital right alternative superalgebra over an algebraically closed field of characteristic 0 has semisimple even part if its even part is strongly alternative.
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Acknowledgment
The author is sincerely grateful to S. V. Pchelintsev for discussing the research and to a referee for making some valuable remarks.
Funding
The author is supported by the FAPESP (Brazil); no. 2017/04702–5.
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Shashkov, O.V. Finite-Dimensional Unital Right Alternative Superalgebras with Strongly Alternative Even Part. Sib Math J 61, 926–940 (2020). https://doi.org/10.1134/S003744662005016X
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DOI: https://doi.org/10.1134/S003744662005016X