The purpose of this paper is to introduce a concept of commutator in a multiplicative Lie algebra which will be termed as a Lie commutator. Consequently, we develop the theory of Lie solvability and Lie nilpotency of multiplicative Lie algebras.

中文翻译：

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乘法李代数中的李交换子、可解性和幂零性

本文的目的是在乘法李代数中引入一个交换子的概念，称为李交换子。因此，我们发展了乘法李代数的李可解性和李幂零理论。