Introduces Raney morphisms between MT-algebras to prove category equivalence with Raney extensions via a generalized Funayama envelope, while defining a T0-hull that extends the TD-hull of frames.
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Dual descriptions of free Gödel algebras over distributive lattices and coproducts in their varieties are realized as Esakia spaces of closed chains from Priestley duals, generalizing finite-generator cases.
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McKinsey-Tarski algebras and Raney extensions
Introduces Raney morphisms between MT-algebras to prove category equivalence with Raney extensions via a generalized Funayama envelope, while defining a T0-hull that extends the TD-hull of frames.
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Free algebras and coproducts in varieties of G\"odel algebras
Dual descriptions of free Gödel algebras over distributive lattices and coproducts in their varieties are realized as Esakia spaces of closed chains from Priestley duals, generalizing finite-generator cases.