Multiplicative complete regularity of topological algebraic systems (Q2719415)
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scientific article; zbMATH DE number 1609666
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicative complete regularity of topological algebraic systems |
scientific article; zbMATH DE number 1609666 |
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25 June 2001
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multiplicative complete regularity
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0.89260286
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0.8884999
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0.88767636
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0.88722336
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Multiplicative complete regularity of topological algebraic systems (English)
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For topological algebraic systems being generalizations of topological groups the authors define two types of enhancing the complete regularity axioms such as the multiplicative and strong multiplicative complete regularities. They are obtained by imposing the algebraic requirements on continuous functions. Also, necessary and sufficient conditions are established for the multiplicative and strong multiplicative complete regularity of semitopological and paratopological groups, topological loops and topological left loops.
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