Geodesic
Simple finite-dimensional right-alternative unital superalgebras
Izvestiya. Mathematics , Tome 82 (2018) no. 3, pp. 578-595

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We study simple finite-dimensional right-alternative unital superalgebras over a field of characteristic zero. We prove that if the even part of a superalgebra is associative and commutative, then the superalgebra is of Abelian type. The classification of such superalgebras is known.
Keywords: simple superalgebra, right-alternative superalgebra, superalgebra of Abelian type. 
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     author = {S. V. Pchelintsev and O. V. Shashkov},
     title = {Simple finite-dimensional right-alternative unital superalgebras},
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S. V. Pchelintsev; O. V. Shashkov. Simple finite-dimensional right-alternative unital superalgebras. Izvestiya. Mathematics , Tome 82 (2018) no. 3, pp. 578-595. http://geodesic.mathdoc.fr/item/IM2_2018_82_3_a6/