Сentral orders in simple finite dimensional superalgebras Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2020, Volume: 17, Pages: 1027-1042 Pages count : 16 DOI: 10.33048/semi.2020.17.077 | ||||
| Tags | central order, associative superalgebra, alternatve superalgebra, Jordan superalgebra, simple superalgebra | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
| 2 | Russian Foundation for Basic Research | 19-31-90055 |
Abstract:
The well-known Formanek's module fniteness theorem states that every unital prime PI-algebra (i.e. a central order in a matrix algebra by Posner's theorem) embeds into a fnitely 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.
Cite:
Panasenko A.S.
Сentral orders in simple finite dimensional superalgebras
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2020. V.17. P.1027-1042. DOI: 10.33048/semi.2020.17.077 WOS Scopus OpenAlex
Сentral orders in simple finite dimensional superalgebras
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2020. V.17. P.1027-1042. DOI: 10.33048/semi.2020.17.077 WOS Scopus OpenAlex
Dates:
| Submitted: | Dec 25, 2019 |
| Published online: | Jul 30, 2020 |
Identifiers:
| Web of science: | WOS:000557456900001 |
| Scopus: | 2-s2.0-85099259713 |
| OpenAlex: | W3117306407 |
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