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拟Hopf代数上的Doi-Hopf模

Keywords: 拟Hopf代数,Doi-Hopf模,可分函子

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Abstract:

在拟Hopf代数情形中,利用余环的可分函子理论,给出了忘却函子(忽略余作用)可分的充分必要条件,从而诱导出Doi-Hopf模的积分.作为结果应用,证明了拟Hopf代数中Doi-Hopf模的Maschke型定理.

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