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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2009, Volume 6, Pages 26–48
(Mi semr55)
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This article is cited in 1 scientific paper (total in 1 paper)
Research papers
Metabelian Lie $Q$-algebras
E. Yu. Daniyarova Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
Abstract:
This is the second paper in the series of three, which are in the series of papers, the aim of which is to construct algebraic geometry over metabelian Lie algebras. For investigation of quasiidentity of coordinate algebras we introduce metabelian Lie $Q$-algebras. We have come to the characterization of such algebras by several ways. We prove the theorem of embedding an arbitrary $Q$-algebra into the direct sum of primary $Q$-algebras.
Keywords:
matabelian Lie algebra over a field, $Q$-algebra, $U$-algebra, primary algebra, semiprimary algebra, primary decomposition, diophantine pojective vatiety over a field.
Received April 23, 2007, published February 12, 2009
Citation:
E. Yu. Daniyarova, “Metabelian Lie $Q$-algebras”, Sib. Èlektron. Mat. Izv., 6 (2009), 26–48
Linking options:
https://www.mathnet.ru/eng/semr55 https://www.mathnet.ru/eng/semr/v6/p26
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Abstract page: | 206 | Full-text PDF : | 51 | References: | 33 |
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