A MASCHKE TYPE THEOREM FOR PARTIAL π-COMODULES

陈笑缘

A MASCHKE TYPE THEOREM FOR PARTIAL π-COMODULES

JIA Ling1, CHEN Xiao-yuan2

(1.Department of Mathematics and Statistics, Ludong University, Yantai 264025, China)

(2.Basic Department, Zhejiang Business College, Hangzhou 310053, China)

　　Abstract: In this paper, we study the Maschke type theorems of partial group comodules.By the methods of weak Hopf group coalgebras, we obtain the classical Maschke type theorems of Hopf algebras, which generalized those of Hopf algebras and results of [8].

　　Keywords: partial π-comodule; trace map; Maschke type theorem