A framework to study commutation problems
Alfons Van Daele (1978)
Bulletin de la Société Mathématique de France
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Alfons Van Daele (1978)
Bulletin de la Société Mathématique de France
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Zbigniew Sawoń (1978)
Czechoslovak Mathematical Journal
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Inoue, Atsushi, Ogi, Hidekazu, Takakura, Mayumi (2007)
International Journal of Mathematics and Mathematical Sciences
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Katarzyna Hałkowska (1976)
Archivum Mathematicum
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Sergei Sverchkov (2014)
Open Mathematics
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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,...
Cedilnik, A. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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