Dualities for Equational Classes of Brouwerian Algebras and Heyting Algebras
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Publication:4081295
DOI10.2307/1997544zbMath0319.06007OpenAlexW4252242256MaRDI QIDQ4081295
Publication date: 1976
Full work available at URL: https://doi.org/10.2307/1997544
Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Structure and representation theory of distributive lattices (06D05) Many-valued logic (03B50) Free algebras (08B20) Logical aspects of Boolean algebras (03G05) Varieties (08B99) Topological representations of algebraic systems (54H10)
Related Items (23)
Bjarni Jónsson's contributions in algebra ⋮ Endoprimal distributive lattices are endodualisable ⋮ Optimal natural dualities for varieties of Heyting algebras ⋮ Bilattices with implications ⋮ Piggyback-Dualitäten ⋮ Natural dualities in partnership ⋮ Varieties of commutative integral bounded residuated lattices admitting a Boolean retraction term ⋮ Strong endomorphism kernel property for finite Brouwerian semilattices and relative Stone algebras ⋮ Free algebras in varieties of Glivenko MTL-algebras satisfying the equation \(2(x^{2}) = (2x)^{2}\) ⋮ Injective uniform structures ⋮ Varieties of interlaced bilattices ⋮ Priestley duality for bilattices ⋮ Coproducts of distributive lattice-based algebras. ⋮ Compatible relations on Heyting chains ⋮ Gödel algebras: interactive dualities and their applications. ⋮ Heyting algebras with Boolean operators for rough sets and information retrieval applications ⋮ Equational axioms for classes of Heyting algebras ⋮ Injectivity and Boolean powers ⋮ Paraconsistent Modal Logics ⋮ A representation theory for the variety generated by the triangle ⋮ Topological duality for distributive Ockham algebras ⋮ Natural dualities for varieties of BL-algebras ⋮ Finiteness based results in BL-algebras
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