Varieties of distributive lattices with unary operations. II.
Priestley, H.A., Santos, R. (1998)
Portugaliae Mathematica
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Displaying similar documents to “Negation operations definable on finite distributive lattices”
Varieties of distributive lattices with unary operations. II.
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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. ...
Varieties of Distributive Rotational Lattices
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A rotational lattice is a structure where is a lattice and is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using Jónsson’s lemma, this leads to a description of all varieties of distributive rotational lattices.
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