Geodesic
Сentral orders in simple finite dimensional superalgebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1027-1042

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The well-known Formanek's module finiteness theorem states that every unital prime PI-algebra (i.e. a central order in a matrix algebra by Posner's theorem) embeds into a finitely generated module over its center. An analogue of this theorem for alternative and Jordan algebras was earlier proved by V.N. Zhelyabin and the author. In this paper we discuss this problem for associative, classical Jordan and some alternative superalgebras.
Keywords: central order, associative superalgebra, alternatve superalgebra, Jordan superalgebra, simple superalgebra. 
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     author = {A. S. Panasenko},
     title = {{\CYRS}entral orders in simple finite dimensional superalgebras},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1027--1042},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a23/}
}
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A. S. Panasenko. Сentral orders in simple finite dimensional superalgebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1027-1042. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a23/