Дополнение к теореме Блока и к теореме Попова о дифференциально простых алгебрах Full article
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Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2019, Volume: 16, Pages: 1375-1384 Pages count : 10 DOI: 10.33048/semi.2019.16.095 | ||
| Tags | differentially simple algebra, projective module, associative algebra, alternative algebra, Jordan algebra, Lie algebra, Malcev algebra algebra of polynomials. | ||
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Abstract:
The paper gives examples of differentially simple algebras over the field of complex numbers, which are not represented in the form specified in Block's theorem. More precisely, examples of these algebras are finitely generated projective, but non-free, modules over their centroids. Recall, Popov's theorem states, that a differentially simple alternative non-associative algebra over a field of characteristic zero is a finitely generated projective module over the center.
Cite:
Желябин В.Н.
Дополнение к теореме Блока и к теореме Попова о дифференциально простых алгебрах
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. Т.16. С.1375-1384. DOI: 10.33048/semi.2019.16.095 WOS Scopus РИНЦ OpenAlex
Дополнение к теореме Блока и к теореме Попова о дифференциально простых алгебрах
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. Т.16. С.1375-1384. DOI: 10.33048/semi.2019.16.095 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 1, 2019 |
| Published print: | Oct 7, 2019 |
Identifiers:
| Web of science: | WOS:000489035400001 |
| Scopus: | 2-s2.0-85083274120 |
| Elibrary: | 42735138 |
| OpenAlex: | W3016173440 |