| Texto completo | |
| Autor(es): |
Sverchkov, Sergei R.
[1]
Número total de Autores: 1
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| Afiliação do(s) autor(es): | [1] Russian Presidential Acad Natl Econ & Publ Adm, Siberian Branch, Novosibirsk 630102 - Russia
Número total de Afiliações: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | Central European Journal of Mathematics; v. 12, n. 11, p. 1687-1699, NOV 2014. |
| Citações Web of Science: | 0 |
| Resumo | |
We prove that the variety of Lie algebras arising from splicing operation coincides with the variety CM of centreby-metabelian Lie algebras. Using these Lie algebras we find the minimal dimension algebras generated the variety CM and the variety of its associative envelope algebras. We study the splicing n-ary operation. We show that all n-ary (n > 2) commutator algebras arising from this operation are nilpotent of index 3. We investigate the generalization of the splicing n-ary operation, and we formulate a series of open problems. (AU) | |
| Processo FAPESP: | 10/50171-8 - Sergei Sverchkov | Siberian Branch of the Russian Academy of Agricultural Sciences - Rússia |
| Beneficiário: | Ivan Chestakov |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |