A topological approach to MTL-algebras (Q2324842)
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| Language | Label | Description | Also known as |
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| English | A topological approach to MTL-algebras |
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A topological approach to MTL-algebras (English)
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12 September 2019
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Triples decompostions for algebraic structures ha vea long history. In this paper, the authors provide a dualized construction of Aguzzoli-Flaminio-Ugolini of a large class of MTL-algebras from quadruples (\(B,A, \vee_e,\delta\)). The extended Priestley dual of each \(srDL\)-algebra from the Stone space associated to its Boolean skeleton, the extended Priestley dual of its radical, and a collection of connecting maps, via a rotation construction are constructed.
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Priestley duality
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Stone duality
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residuated lattices
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twist products
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MTL-algebras
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GMTL-algebras
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