Geodesic
Right alternative superalgebras of capacity 1 with strongly alternative even part
Algebra i logika, Tome 59 (2020) no. 2, pp. 260-281

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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.
Keywords: right alternative superalgebra, superalgebra of capacity 1, simple superalgebra. 
@article{AL_2020_59_2_a5,
     author = {O. V. Shashkov},
     title = {Right alternative superalgebras of capacity 1 with strongly alternative even part},
     journal = {Algebra i logika},
     pages = {260--281},
     publisher = {mathdoc},
     volume = {59},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_2_a5/}
}
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O. V. Shashkov. Right alternative superalgebras of capacity 1 with strongly alternative even part. Algebra i logika, Tome 59 (2020) no. 2, pp. 260-281. http://geodesic.mathdoc.fr/item/AL_2020_59_2_a5/