A Maschke type theorem for weak group entwined modules and applications.
type: Item
instance of: scholarly article
title: A Maschke type theorem for weak group entwined modules and applications.
zbMATH Open document ID: 1317.16030
author: Dingguo Wang
author: Quan-guo Chen
published in: Israel Journal of Mathematics
publication date: 2014-12-11T00:00:00Z
review text: Let \(\pi\) be a group, \(\alpha\in\pi\), and let \((A,C)_{\pi-\psi}\) be a weak \(\pi\)-entwining structure. If \(U^{\pi -C}_A(\psi)\) is the category of right \((A,C)_{\pi-\psi}\)-modules, let \(F^{(\alpha)}\colon U^{\pi-C}_A(\psi)\to M_{A_\alpha}\) be the forgetful functor to the category of right \(A_\alpha\)-modules. The authors discuss when is \(F^{(\alpha)}\) a separable functor, and apply the result to weak Doi-Hopf \(\pi\)-modules and to weak entwining modules.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 16T15
Mathematics Subject Classification ID: 16T05
Mathematics Subject Classification ID: 18D10
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 6379542
zbMATH Keywords: entwining structures
zbMATH Keywords: integrals
zbMATH Keywords: Doi-Hopf modules
zbMATH Keywords: relative Hopf modules
zbMATH Keywords: separable functors
zbMATH Keywords: Maschke-type theorems
MaRDI profile type: Publication
full work available at URL: s11856-014-1113-0
OpenAlex ID: W2133760096
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DOI: 10.1007/S11856-014-1113-0
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description: scientific article; zbMATH DE number 6379542