Topological spaces of monadic MV-algebras
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We construct a covariant functor \(\gamma \) from the category of monadic MV-algebras into the category of Q-distributive lattices, i.e., distributive lattices with quantifier introduced by R. Cignoli. For every monadic MV-algebra, we construct a dual object named QM-space; these objects form a special subcategory of spectral spaces and of Q-spaces developed by R. Cignoli for Q-distributive lattices.
KeywordsTopological duality Monadic MV-algebra
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- Hay LS (1958) An axiomatization of the infinitely many-valued calculus, M.S. Thesis, Cornell UniversityGoogle Scholar
- Muresan C (2008) The reticulation of a residuated lattice. Bull Math Soc Sci Math Roumanie (N.S.) 51(99), no. 1, 4765Google Scholar
- Rutledge JD (1959) A preliminary investigation of the infinitely many-valued predicate calculus, Ph.D. Thesis, Cornell UniversityGoogle Scholar