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An Application of Rafael's Theorem over Partial Entwined Modules

An Application of Rafael's Theorem over Partial Entwined Modules
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摘要 We obtain necessary and sufficient conditions for the functor F : ∪/Ac (ψ) → Mc on the category of partial entwined modules that forgets the A-action to be separable. As an application, we prove a Maschke-type theorem for the category of partial entwined modules. We obtain necessary and sufficient conditions for the functor F : ∪/Ac (ψ) → Mc on the category of partial entwined modules that forgets the A-action to be separable. As an application, we prove a Maschke-type theorem for the category of partial entwined modules.
出处 《Algebra Colloquium》 SCIE CSCD 2016年第1期89-96,共8页 代数集刊(英文版)
基金 The work is supported by the Key University Science Research Project of Anhui Province (KJ2015A294), the China Postdoctoral Science Foundation (2015M571725), the Fund of Science and Technology Department of Guizhou Province (2014GZ81365) and the Program for Science and Technology Innovation Talents in Education Department of Guizhou Province (KY[20151481).
关键词 partial entwined module cointegral Maschke-type theorem partial entwined module, cointegral, Maschke-type theorem
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