Dualities for Stone algebras, double Stone algebras, and relative Stone algebras

DOI10.4064/cm-46-1-1-14zbMath0514.06008OpenAlexW956541374MaRDI QIDQ3659832

Brian A. Davey

Publication date: 1982

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-46-1-1-14

zbMATH Keywords

double Stone algebrasrelative Stone algebrasbounded-distributive-lattice retractdualities for Stone algebrasfull duality between categoriespartially ordered Boolean spacesvariety of Stone algebras

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Heyting algebras (lattice-theoretic aspects) (06D20) Pseudocomplemented lattices (06D15) Ordered topological structures (06F30) Categories of algebras (08C05)

Related Items (10)

Partition-induced natural dualities for varieties of pseudo-complemented distributive lattices ⋮ Unnamed Item ⋮ Natural dualities in partnership ⋮ The axiomatizability of topological prevarieties ⋮ Optimal Natural Dualities ⋮ Counting relations on Ockham algebras. ⋮ Applications of Priestley duality in transferring optimal dualities ⋮ Isomorphism Universal Varieties of Heyting Algebras ⋮ Topological duality for distributive Ockham algebras ⋮ Admissibility via natural dualities

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