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Displaying similar documents to “The structure and representation of n-ary algebras of DNA recombination”

Commutator algebras arising from splicing operations

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,...