Varieties of topological algebras
type: Item
instance of: scholarly article
title: Varieties of topological algebras
zbMATH Open document ID: 0572.08006
DOI: 10.1007/BF00968693
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: The author studies a theory of varieties of topological algebras. Here a topological algebra is a universal algebra equipped with a topology so that the (finitary) algebra operations are continuous. The paper is rather technical and intended for the specialists. The titles of sections are: Algebra of filters; Identities in topological algebras; Free topological algebras; Varieties, classification and characterization; Rank of a variety and a-products; Remarks on varieties of topological spaces.
Mathematics Subject Classification ID: 08B20
Mathematics Subject Classification ID: 22A30
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54A25
zbMATH DE Number: 3912450
zbMATH Keywords: varieties of topological algebras
zbMATH Keywords: filters
zbMATH Keywords: Free topological algebras
author: Igor V. Protasov
MaRDI profile type: Publication
cites work: Q4143774
cites work: Q3926654
cites work: Q3968177
cites work: Q4139292
cites work: Q5547268
cites work: A new kind of compactness for topological spaces
full work available at URL: https://doi.org/10.1007/bf00968693
OpenAlex ID: W1987994520
description: scientific article; zbMATH DE number 3912450