弱Hopf代数上的Militaru-Stefan提升定理
THE MILITARU-STEFAN LIFTING THEOREM OVER WEAK HOPF ALGEBRAS

本文研究了弱Hopf-Galois扩张的扩张模.利用忠实平坦的弱Hopf-Galois扩张理论，研究了弱Hopf代数上的Militaru-Stefan提升定理，推广了文献[10]中的相应结果.进一步地，通过诱导模的自同态环的cleft扩张刻画了弱稳定模.
The paper is concerned with extension modules for weak Hopf-Galois extensions.By using faithfully flat weak Hopf-Galois extension theory,we investigative the Militaru-Stefan lifting theorem over weak Hopf algebras,which extends the corresponding result given in[10].Moreover,we characterizer weak stable modules by a weak cleft extension of endomorphism rings of induced modules