Endomorphism rings of \(H\)-comodule algebras
type: Item
instance of: scholarly article
title: Endomorphism rings of \(H\)-comodule algebras
zbMATH Open document ID: 0863.16022
author: Yinhuo Zhang
author: Fred Van Oystaeyen
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1997-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/119096
review text: Let \(A/B\) be a (left) Hopf-Galois extension with Hopf algebra \(H\). For a (left) coideal subalgebra \(K\subset H\) let \(A(K)\subseteq A\) be the cotensor product of \(A\) with \(K\) over \(H\). The authors study the rings \(A\otimes_{A(K)} A\) and \(\text{End}_{A(K)}(A)\) under suitable flatness conditions and find interesting relations with smash products and crossed products. These results generalize known theorems for group graded rings. Similar results are obtained for the right hand side and a Hopf subalgebra \(L\subseteq H\).
reviewed by: Bodo Pareigis
Mathematics Subject Classification ID: 16S40
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16S35
Mathematics Subject Classification ID: 16S50
zbMATH DE Number: 885633
zbMATH Keywords: Hopf-Galois extensions
zbMATH Keywords: Hopf algebras
zbMATH Keywords: coideal subalgebras
zbMATH Keywords: cotensor products
zbMATH Keywords: smash products
zbMATH Keywords: crossed products
zbMATH Keywords: group graded rings
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 885633