(H,A)-Hom-Hopf模范畴的函子

Functors of(H,A)-Hom-Hopf Module Category

近年来,Hom-型结构(Hom-李代数、Hom-结合代数、Hom-余结合余代数、Hom-Hopf代数、Hom-模、Hom-余模和Hom-Hopf模)得到了广泛的研究。运用(H,A)-Hom-Hopf模基本结构定理,恰当的扭曲形变和扭曲合成方法,给出了(H,A)-Hom-Hopf模范畴和余不变子模范畴之间的关系以及余不变函子和诱导函子的一些应用。

Recently, Hom type structures （such as Hom Lie algebras, Hom-associative alge-bras, Hom-coassociative coalgebras, Hom-modules, Hom-comodules and Hom-Hopf modules, and so on） have been widely studied. On the base of the fundamental structure theo- rem of the category of （H,A）-Hom-Hopf modules, and by using some proper methods of twisted deformations and compositions, we investigate the relations between the category of （H ,A）-Hom-Hopf modules and that of coinvariant Hom-modules, and then we give some ap- plications of the coinvariant functor and the induced functor.