@article{4c178d88f94e438da9438e3476f6cea4,
title = "Сentral orders in simple finite dimensional superalgebras",
abstract = "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 = "alternatve superalgebra, associative superalgebra, central order, Jordan superalgebra, simple superalgebra",
author = "PANASENKO, {Alexander Sergeevich}",
note = "Funding Information: The work is supported by Mathematical Center in Akademgorodok, the agreement with Ministry of Science and High Education of the Russian Federation number 075-15-2019-1613. The reported study was funded by RFBR, project number 19-31-90055. The author is grateful to the referee for the useful comments. The author also expresses his gratitude to P. S. Kolesnikov, whose remarks helped to improve this paper.",
year = "2020",
doi = "10.33048/semi.2020.17.077",
language = "English",
volume = "17",
pages = "1027--1042",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
}