Font, Josep M.2020-02-282020-02-281983https://hdl.handle.net/2445/151422Preprint 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]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.26 p.application/pdfeng(c) Font Llovet, Josep Maria, 1983Modalitat (Lògica)Universitat de Barcelona. Institut de MatemàticaMonadicity in topological pseudo-boolean algebrasinfo:eu-repo/semantics/articleDL B 37493-1983info:eu-repo/semantics/openAccess