Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras |
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Authors: | Leonardo Manuel Cabrer Sergio Arturo Celani |
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Institution: | (1) Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Nacional del Centro, Pinto 399, 7000 Tandil, Argentina |
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Abstract: | In this work we give a duality for many classes of lattice ordered algebras, as Integral Commutative Distributive Residuated
Lattices MTL-algebras, IMTL-algebras and MV-algebras (see page 604). These dualities are obtained by restricting the duality
given by the second author for DLFI-algebras by means of Priestley spaces with ternary relations (see 2]). We translate the
equations that define some known subvarieties of DLFI-algebras to relational conditions in the associated DLFI-space.
The authors are supported by the Agentinian Consejo de Investigaciones Cientificas y Tecnicas (CONICET). |
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Keywords: | Bounded distributive lattices with fusion and implication Priestley duality residuated distributive lattices MTL-algebras IMTL-algebras MV-algebras |
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