Geodesic
Singular 6-dimensional superalgebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 92-105

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A simple right alternative superalgebra is called singular if its even part is an algebra with zero multiplication. The first example of a 5-dimensional (this is the smallest possible dimension) singular superalgebra was given by J.P. da Silva, L.S.I. Murakami and I.P. Shestakov in 2016. In the previous paper we classified singular 5-dimensional superalgebras. It is proved that there are no 6-dimensional singular superalgebras.
Keywords: simple right alternative superalgebra, singular superalgebra. 
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     author = {S. V. Pchelintsev and O. V. Shashkov},
     title = {Singular 6-dimensional superalgebras},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {92--105},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a5/}
}
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S. V. Pchelintsev; O. V. Shashkov. Singular 6-dimensional superalgebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 92-105. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a5/