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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical logic, algebra and number theory
Addition to Block's theorem and to Popov's theorem on differentially simple algebras
V. N. Zhelyabin Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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.
Keywords:
differentially simple algebra, projective module, associative algebra, alternative algebra, Jordan algebra, Lie algebra, Malcev algebra algebra of polynomials.
Received April 1, 2019, published October 7, 2019
Citation:
V. N. Zhelyabin, “Addition to Block's theorem and to Popov's theorem on differentially simple algebras”, Sib. Èlektron. Mat. Izv., 16 (2019), 1375–1384
Linking options:
https://www.mathnet.ru/eng/semr1136 https://www.mathnet.ru/eng/semr/v16/p1375
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Abstract page: | 208 | Full-text PDF : | 107 | References: | 13 |
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