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http://hdl.handle.net/2445/151422
Title: | Monadicity in topological pseudo-boolean algebras |
Author: | Font, Josep M. |
Keywords: | Modalitat (Lògica) Universitat de Barcelona. Institut de Matemàtica |
Issue Date: | 1983 |
Publisher: | Universitat de Barcelona |
Series/Report no: | Mathematics Preprint Series; 16 |
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. |
Note: | 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] |
Note: | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 31.13] |
URI: | http://hdl.handle.net/2445/151422 |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N016.pdf | 1.09 MB | Adobe PDF | View/Open |
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