Closed congruences on semigroups (Q2755353)
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scientific article; zbMATH DE number 1669818
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closed congruences on semigroups |
scientific article; zbMATH DE number 1669818 |
Statements
15 June 2002
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congruences
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topological semigroup
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quotient map
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saturated map
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\(\sigma\)-compact
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locally compact
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0.93084455
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0.9199697
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0.9174498
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Closed congruences on semigroups (English)
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The central result of this paper is that if \(S\) is a locally compact \(\sigma\)-compact semigroup and \(R\) is a closed congruence on \(S\), then \(S\slash R\) is a topological semigroup. This result first appeared in [\textit{J. D. Lawson} and \textit{B. L. Madison}, Math. Z. 120, 18-24 (1971; Zbl 0201.15501)] and was reported in [\textit{J. H. Carruth, J. A. Hildebrandt} and \textit{R. J. Koch}, The theory of topological semigroups I, New York (1983; Zbl 0515.22003)].
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