Authors: A. M. Vinogradov and M. M. Vinogradov

Graded analogs of (n,k,r)-Lie algebras (in particular, of Nambu--Lie algebras), introduced in A.M. Vinogradov and M.M. Vinogradov, On multiple generalizations of Lie algebras and Poisson manifolds, Cont. Math. 219 (1998), 273--287, are defined and their general property are studied.

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