%0 Journal Article
%T 弱Hopf代数上的Militaru-Stefan提升定理<br>THE MILITARU-STEFAN LIFTING THEOREM OVER WEAK HOPF ALGEBRAS
%A 作者
%A 王勇
%J 数学杂志
%D 2017
%X 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.<br>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
%K 弱Hopf代数 弱Hopf-Galois扩张 弱cleft扩张&lt
%K br&gt
%K weak Hopf algebra weak Hopf-Galois extension weak cleft extension
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170211&flag=1