【摘要】 通过引入偏Doi-Hopf模积分映射的概念,证明了经典表示理论中的Maschke型定理在偏Doi-Hopf模条件下仍成立,即如果(H,A,C)是带有正规积分映射的偏Doi-Hopf数据,映射f:M→N是偏Doi-Hopf模同态,则只要f作为右A-模映射存在截面映射(收缩映射),则f作为偏Doi-Hopf模映射也存在截面映射(收缩映射).更多还原

【Abstract】 With the help of the notion of integral map of a partial Doi-Hopf module it is proved that an important result in classical representation theory-Maschke theorem still holds for a partial Doi-Hopf module,that is,if(H,A,C) is a partial Doi-Hopf structure with a normal integral map and map f: M→N is a partial Doi-Hopf module homology,then f has a section map(retraction map) of right A-module if and only if it has a section map(retraction map) of partial Doi-Hopf module.更多还原