弱模余代数的结构定理

The structure theorem for weak module coalgebras

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 H be a weak Hopf algebra and C a 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.