Natural dualities of residuated lattice
Natural dualities for the quasi-variety generated by a residuated lattice
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Natural duality is fundamentally a category-theoretic concept. It is concerned with the quasi-variety generated by a finite algebra. Natural duality theory takes a problem in a class of algebras and converts it into an easier, pictorial problem in a completely different class of topological structures. Residuated lattices are lattice-ordered-algebras, so it has natural duality. In this book we are interested to obtain a class of topological structures which is dual to quasi-variety generated by a five -element residuated lattice. Piggyback Duality Theorem is a very economical way to obtain dua...
Natural duality is fundamentally a category-theoretic concept. It is concerned with the quasi-variety generated by a finite algebra. Natural duality theory takes a problem in a class of algebras and converts it into an easier, pictorial problem in a completely different class of topological structures. Residuated lattices are lattice-ordered-algebras, so it has natural duality. In this book we are interested to obtain a class of topological structures which is dual to quasi-variety generated by a five -element residuated lattice. Piggyback Duality Theorem is a very economical way to obtain dual structure of lattice-ordered- algebras. The application technique of the Piggyback Duality Theorem to a lattice ordered algebra is exhibited in this book.
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