Topological Morita equivalences induced by ideals generated by dense idempotents
type: Item
instance of: scholarly article
title: Topological Morita equivalences induced by ideals generated by dense idempotents
zbMATH Open document ID: 0921.16029
author: K. Appert
published in: Journal of Algebra
publication date: 1999-08-04T00:00:00Z
review text: An idempotent \(e\) of a topological ring \(R\) is called dense provided \(ReR\) is a dense ideal in \(R\). Let \(R\) be a complete right linearly topologized ring and \(e\) a dense idempotent of it. A pair of functors is indicated which realizes the equivalence between the category of complete linearly topologized right \(R\)-modules and complete linearly topologized right \(eRe\)-modules. The main result of the paper is applied in order to get a result of \textit{Y. Xu, K.-P. Shum}, and \textit{R. F. Turner-Smith} [J. Algebra 159, No. 2, 425-435 (1993; Zbl 0816.16007)].
Mathematics Subject Classification ID: 16W80
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 1211659
zbMATH Keywords: linearly topologized rings
zbMATH Keywords: category equivalences
zbMATH Keywords: categories of topologized modules
reviewed by: Mihail I. Ursul
MaRDI profile type: Publication
full work available at URL: jabr.1997.7218
OpenAlex ID: W2087802635
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DOI: 10.1006/JABR.1997.7218
description: scientific article; zbMATH DE number 1211659