Natural dualities for varieties of distributive lattices with a quantifier
H. Priestley (1993)
Banach Center Publications
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Displaying similar documents to “Canonical extensions of Stone and double Stone algebras: the natural way”
Natural dualities for varieties of distributive lattices with a quantifier
Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras
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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. ...
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