Abstract:
We classify the unital finite-dimensional simple right-alternative superalgebras with semisimple even part and prove that each of these superalgebras is either a simple associative matrix Wall algebra, or a simple alternative Shestakov superalgebra, or an asymmetric double, or an abelian superalgebra of type \romanBn∣n, n≥2, or \romanB2∣2(ν). Furthermore, we obtain a description of right-alternative superalgebras with simple even part; every such superalgebra either is simple or has the odd part with zero product.
Citation:
S. V. Pchelintsev, O. V. Shashkov, “Simple right-alternative superalgebras with semisimple even part”, Sibirsk. Mat. Zh., 61:2 (2020), 385–407; Siberian Math. J., 61:2 (2020), 304–321