Topological implications in n-permutable varieties (Q1078592)
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scientific article; zbMATH DE number 3961695
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological implications in n-permutable varieties |
scientific article; zbMATH DE number 3961695 |
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Topological implications in n-permutable varieties (English)
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1984
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Using the known translations of \(T_ 0\)-topology, \(T_ 1\)-topology and Hausdorff-topology in terms of the closeness-relation in nonstandard analysis the note gives an extremely short proof for the following facts: 1) Any compatible \(T_ 0\)-topology on an algebra A in an n-permutable variety is in fact \(T_ 1\). 2) Any compatible \(T_ 0\)-topology on an algebra A in a 3-permutable variety is in fact Hausdorff.
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topological algebras
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translations
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Hausdorff-topology
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closeness- relation
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nonstandard analysis
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compatible \(T_ 0\)-topology
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n- permutable variety
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