Galois Theory for Cylindric Algebras and its Applications

DOI10.2307/1999821zbMath0523.03052OpenAlexW4248678148MaRDI QIDQ3674660

Stephen D. Comer

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999821

zbMATH Keywords

epimorphismscylindric algebrasGalois correspondenceamalgamation propertyhomogeneous algebrainjectivesinjective algebrassubgroups of the symmetric groupgeneralized set algebrassubalgebras of the full cylindric set algebra

Mathematics Subject Classification ID

Cylindric and polyadic algebras; relation algebras (03G15) Products, amalgamated products, and other kinds of limits and colimits (08B25) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (7)

Bjarni Jónsson's contributions in algebra ⋮ Complexity of equations valid in algebras of relations. I: Strong non-finitizability ⋮ Algebraization of quantifier logics, an introductory overview ⋮ TWO-VARIABLE LOGIC HAS WEAK, BUT NOT STRONG, BETH DEFINABILITY ⋮ Free algebras in discriminator varieties ⋮ The polyadic generalization of the Boolean axiomatization of fields of sets ⋮ Epimorphisms in cylindric algebras and definability in finite variable logic

Cites Work

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• Cylindric algebras. Part I. With an introductory chapter: General theory of algebras. 2nd printing
• Projective and injective distributive lattices
• Amalgamation, congruence-extension, and interpolation properties in algebras
• Les algèbres cylindriques
• Modules over commutative regular rings
• Algebras Whose Congruence Lattices are Distributive.
• A Sheaf-Theoretic Duality Theory for Cylindric Algebras

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