Geodesic
Nilpotency of $n$-tuple Lie algebras and associative $n$-tuple algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2010), pp. 33-38.

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We obtain conditions for the nilpotency of finite-dimensional $n$-tuple Lie algebras and finite-dimensional associative $n$-tuple algebras. The established conditions are analogous to theorems of Engel and Wedderburn for Lie algebras and associative algebras.
Keywords: $n$-multiple Lie algebra, associative $n$-multiple algebra, nilpotency. 
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     title = {Nilpotency of $n$-tuple {Lie} algebras and associative $n$-tuple algebras},
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N. A. Koreshkov. Nilpotency of $n$-tuple Lie algebras and associative $n$-tuple algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2010), pp. 33-38. http://geodesic.mathdoc.fr/item/IVM_2010_2_a3/

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