Topological properties of prime filters in MTL-algebras and fuzzy set representations for MTL-algebras (Q409741)
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scientific article; zbMATH DE number 6024192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological properties of prime filters in MTL-algebras and fuzzy set representations for MTL-algebras |
scientific article; zbMATH DE number 6024192 |
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Topological properties of prime filters in MTL-algebras and fuzzy set representations for MTL-algebras (English)
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13 April 2012
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The author studies some basic properties of prime filters in MTL-algebras, constructs a topology on prime filters of MTL-algebras and proves that it is a \(T_0\) topological space. Finally the Stone representation theorem of Boolean algebras is extended to MTL-algebras.
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MTL-algebra
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prime filter
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representation theorem
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