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1983

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/151422

Monadicity in topological pseudo-boolean algebras

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Abstract

We study four subclasses of topological pseudo-Boolean algebras representing increasingly strong intuítionistic counterparts of monadic Boolean algebras. The fourteen equivalent classical conditions are shown to split into six non-equivalent sets of equivalent conditions, whose inter-connections are all determined. We also deal with several algebraic-logic properties of our classes, such as regular, dense, Peircean elements, and others. We conclude that a closure operator derived from an interior one is not meaningless in this context of intuítionistic modal logic.

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Preprint enviat per a la seva publicació en una revista científica: Lecture Notes in Mathematics, 1983, volume 1103, pp. 169-192. [https://doi.org/10.1007/BFb0099386]

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Modalitat (Lògica)

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Universitat de Barcelona. Institut de Matemàtica

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Preprints de Matemàtiques - Mathematics Preprint Series

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FONT, Josep M. Monadicity in topological pseudo-boolean algebras. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/151422

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