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OALib Journal期刊
ISSN: 2333-9721
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弱Doi-Hopf群模的Maschke型定理
, PP. 615-617
Keywords: 弱Hopfπ-余代数,Maschke型定理,弱Doi-Hopfπ-模
Abstract:
设π为一个群,讨论了弱Doi-Hopfπ-模的半单性或可约性.设(H,A,C)是一个弱Doi-Hopfπ-数据,利用忘却函子将Doi-Hopfπ-模范畴π-CUA中的对象映为右A-模范畴MA中对象,通过对MA中可分单同态进行变形,建立了Doi-Hopfπ-数据积分概念.借助此积分,证明了弱Doi-Hopfπ-模的Maschke型定理,推广了一些文献的结果.
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