一类Hom-Hopf模基本定理

A Class of Fundamental Theorem of Hom-Hopf Modules

设L是一个三角Hopf代数.通过表示范畴LM中Hom-Hopf代数的概念,证明了Hom-Hopf代数的对偶也是LM中的Hom-Hopf代数.进一步给出了范畴LM中Hom-Hopf模的余不变子空间的定义并得到LM中的Hom-Hopf模基本定理.

Let be a triangular Hopf algebra.By using the definition of Hom-Hopf algebras in,the theorem that the dual of a Hom-Hopf algebra in is also a Hom-Hopf algebra was proved.Furthermore,the coinvariant subspace of a Hom-Hopf module was defined and the fundamental theorem of Hom-Hopf module in was obtained.