设L是一个余三角Hopf代数。通过余模范畴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 L be a cotriangular Hopf algebra. By using the definition of Hom-Hopf algebras in LM, the theorem that the dual of a Hom-Hopf algebra in LM is also a Hom-Hopf algebra is proved. Furthermore, the coinvariant subspace of a Hom-Hopf module is defined and the fundamental theorem of Hom-Hopf module in LM is obtained.