Nilpotency of \(n\)-tuple Lie algebras and associative \(n\)-tuple algebras

DOI10.3103/S1066369X10020040zbMath1247.17005OpenAlexW2463014535MaRDI QIDQ847880

Nikolai A. Koreshkov

Publication date: 19 February 2010

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x10020040

zbMATH Keywords

nilpotency\(n\)-tuple Lie algebraassociative \(n\)-tuple algebra

Mathematics Subject Classification ID

Other (n)-ary compositions ((n ge 3)) (17A42) Radical theory (nonassociative rings and algebras) (17A65) Associative rings and algebras with additional structure (16W99)

Related Items (11)

Tori in simple Lie pencils ⋮ Symmetrical simple Lie sheaves of rank 1 ⋮ Inner derivations of simple Lie pencils of rank 1 ⋮ Lie and Engel theorems for \(n\)-tuple Lie algebras ⋮ Simple Lie sheaves of small dimension ⋮ Free k -nilpotent n -tuple semigroups ⋮ Lie sheaves of small dimensions ⋮ Triangulation of \(n\)-tuple solvable Lie algebras ⋮ Free products of \(n\)-tuple semigroups ⋮ Associative \(n\)-tuple algebras. ⋮ Unnamed Item

Cites Work

• \(n\)-tuple algebras of associative type
• Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad

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