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October 8, 2025Open Access

Canonical completion and duality for cylindric ortholattices and cylindric Boolean algebras

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Cylindric ortholattices are closed under canonical completions, revealing structural properties.
The study establishes a dual equivalence between cylindric ortholattices and spectral spaces, which enhances their representation.
This research builds on duality results for Boolean algebras, extending previous work in algebra.
The constructive duality results are proven independently within Zermelo-Fraenkel set theory, showcasing foundational significance.

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This note explores canonical completion and duality in cylindric ortholattices and Boolean algebras, indicating significant algebraic implications.

Joseph McDonald (2025) studied this question.

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This note explores canonical completion and duality in cylindric ortholattices and Boolean algebras, indicating significant algebraic implications.