定义了Hom-Lie代数的子代数、理想、核、商代数及同态,并用常规方法研究了它们在同态映射α影响下的一些性质,得到了较好的结论.
Hom-Lie algebra has a homomorphismα,the authors define subalgebra,ideal,kernel,quotient algebra and homomorphism of Hom-Lie algebra,and get good results by the conventional method to study these propositions under the influence of the homomorphismα.