Extension of congruences on semirings of continuous functions
The lattices of congruences of semirings and semifields of continuous nonnegative functions over an arbitrary topological space are studied. It is proved that congruences of the semifield of continuous positive functions can be extended to congruences of the semiring of continuous nonnegative functi...
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| Veröffentlicht in: | Mathematical Notes 2009-06, Vol.85 (5-6), p.767-779 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | The lattices of congruences of semirings and semifields of continuous nonnegative functions over an arbitrary topological space are studied. It is proved that congruences of the semifield of continuous positive functions can be extended to congruences of the semiring of continuous nonnegative functions. |
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| ISSN: | 0001-4346 1573-8876 |
| DOI: | 10.1134/S0001434609050198 |