The quantic conuclei on quantales (Q1040655)
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scientific article; zbMATH DE number 5638423
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The quantic conuclei on quantales |
scientific article; zbMATH DE number 5638423 |
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The quantic conuclei on quantales (English)
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25 November 2009
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The main purpose of this paper is to investigate some properties of quantic conuclei. The concept of an ideal conucleus is introduced and a characterization for a map to be an ideal conucleus is given. Also the relations between quantic nuclei and quantic conuclei are studied on a Girard quantale, based on which the extensions of quantic conuclei (nuclei) to a Girard quantale and the relations between those extensions are discussed. Finally, it is proved that the number of subquantales of an infinite quantale is infinite.
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quantale
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nucleus
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conucleus
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ideal conucleus
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Girard quantale
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