Subalgebra and LI-Ideal of Lattice Implication Algebras

First,We reviewed the definitions of lattice implication algebras,lattice implication subalgebras,and LI-ideals,and provided an equivalent definition of LI-ideal.Then we investigated some properties of lattice implication subalgebra and LI-ideal,and found the least lattice implication subalgebra.Finally,the relation between lattice implication subalgebra and LI-ideal is presented.It is proved that no LI-ideals are non-trivial lattice implication subalgebras.     

Frattini子代数为零的Lie代数

证明了特征零代数闭域上的具有交换幂零根基的完备Ｌｉｅ代数的Ｆｒａｔｔｉｎｉ子代数为零。