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.