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Nilpotency of n-tuple Lie algebras and associative n-tuple algebrasWe obtain conditions for the nilpotency of finite-dimensional n-tuple Lie algebras and finite

Triangulation of n-tuple solvable lie algebrasWe prove an analog of the Lie theorem for finite-dimensional n-tuple solvable Lie algebras over

Lie and Engel theorems for n-tuple lie algebrasWe prove some analogs of the Lie and Engel theorems for n-tuple Lie algebras. Furthermore, we

Nilpotency of n-tuple Lie algebras and associative n-tuple algebrasWe obtain conditions for the nilpotency of finite-dimensional n-tuple Lie algebras and finite

Lie and Engel theorems for n-tuple lie algebrasWe prove some analogs of the Lie and Engel theorems for n-tuple Lie algebras. Furthermore, we

Triangulation of n-tuple solvable lie algebrasWe prove an analog of the Lie theorem for finite-dimensional n-tuple solvable Lie algebras over

Associative n-Tuple algebras by the radical is semisimple. If an n-tuple algebra is Artinian, then the radical is nilpotent

Associative n-Tuple algebras by the radical is semisimple. If an n-tuple algebra is Artinian, then the radical is nilpotent

Lie algebras and algebras of associative type are then used to describe the structure of finite-dimensional semisimple modular Lie algebras. It is proved

Lie sheaves of small dimensionsWe obtain a classification of 2- and 3-dimensional Lie sheaves. © 2013 Allerton Press, Inc.

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