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 introd...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.展开更多
基金Supported by the Natural Science Foundation of Shandong Province(ZR2012AL02)
文摘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.
基金Supported by Natural Science Foundation for Colleges and Universities in Jiangsu Province(12KJD110003)National Natural Science Foundation of China(11226070)
基金Supported by Educational Ministry Key Foundation of China(108154)Na- tional Natural Science Foundation of China(10871170)Young Teachers of College of Science,Nanjing Agricultural University(LXY20090101)