结合李Color代数的等式与P-可解限制李Color代数

Some Identities of Associative Lie Color Algebras and P-solvable Restricted Lie Color Algebras

给出了结合李Color代数的一些等式及模李Color代数的一些性质,引入了P-可解限制李Color代数,获得了P-可解限制李Color代数及P-幂零限制李Color代数的一些充分条件和必要条件,得到了两者之间的一些关系.

In this paper we give some identities of associative Lie color algebras and some properties of modular Lie color algebras. We introduce the definition of p-solvable restricted Lie color algebras,obtain some necessary and/or sufficient conditions on p-sovlvable restricted Lie color algebras and p-nilpotent restricted Lie clor algebras as well as discuss the relations to p-solvability and p-nilpotency for restricted Lie color algebras.