弱模余代数的结构定理

摘要

设H 为弱Hopf代数， C 为弱右H-模余代数，令C=C/C·ker⊓L.利用Smash余积来研究弱模余代数上的结构定理，并给出了C 与C H 作为余代数同构的条件.%Let Hbe a weak Hopf algebra and Ca weak right H-module coalgebra, and C =C/C·ker⊓L. This paper, mainly gives the structure theorem for weak module coalgebras by Smash coproduct and the condition for an isomorphism of coalgebras C ∼=C H.