弱Hopf代数的模代数在其不变量上的积分

Integrality of Module Algebras over its Invariant over Weak Hopf Algebra

主要研究关于弱Hopf代数的模代数在其不变量上的积分,设H是余可换的有限维的弱Hopf代数,A是可换的左H-模代数,那么A是其不变量AH上的积分.

In this paper, we prove that if H is a coeomutative finite dimensional weak Hopf alegbra and A is a commuta tive H-module algebra, A is integral over its invariant A^H .