De Vries powers and proximity Specker algebras

DOI10.1007/s10485-023-09714-3arXiv2201.04423OpenAlexW4366771826MaRDI QIDQ6100552

Bruce Olberding, Guram Bezhanishvili, Patrick J. Morandi, Luca Carai

Publication date: 12 May 2023

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.04423

zbMATH Keywords

proximityintegral domainBaer ringBoolean powerde Vries algebraSpecker algebra

Mathematics Subject Classification ID

Integral domains (13G05) Proximity structures and generalizations (54E05) Ordered rings, algebras, modules (06F25)

Related Items (1)

A unified approach to Gelfand and de Vries dualities

Cites Work

• Functional completeness in the small. Algebraic structure theorems and identities
• Stone duality and Gleason covers through de Vries duality
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Idempotent generated algebras and Boolean powers of commutative rings
• De Vries powers: a generalization of Boolean powers for compact Hausdorff spaces.
• Generalized ``Boolean theory of universal algebras. I. Subdirect sums and normal representation theorem
• Generalized ``Boolean theory of universal algebras. II. Identities and subdirect sums of functionally complete algebras
• Boolean Rings of Projection Maps
• The Normal Completion of the Lattice of Continuous Functions
• A point-free approach to canonical extensions of Boolean algebras and bounded Archimedean \(\ell \)-algebras
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