A Maschke Type Theorem for Weak Hopf π-Comodules  

弱Hopf群余代数的Maschke型定理（英文）

作　　者：贾玲 陈笑缘 

机构地区：[1]School of Mathematics and Statistics, Ludong University [2]Department of Basic, Zhejiang Business College

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第1期144-152,共9页数学季刊（英文版）

基　　金：Supported by the Natural Science Foundation of Shandong Province(ZR2012AL02)

摘　　要：In this paper, we mainly generalize a Maschke type theorem to the setting of a weak Hopf group coalgebra. First we introduce the notion of a weak Hopf group coalgebra as a generalization of Hopf group coalgebra introduced in [7] and a weak Hopf algebra introduced in [2]. And we study some basic properties of weak Hopf group coalgebras. Next we aim at finding some sucient conditions under which an epimorphism of weak （H, A） Hopf π-comodule splits if it splits as an A-module morphism and give an application of our results.

关 键 词：weak Hopf π-coalgebra weak(H A) Hopf π-comodules Maschke type theorem 

分 类 号：O153.3[理学—数学]