Geodesic
Quasi-modal algebras
Mathematica Bohemica, Tome 126 (2001) no. 4, pp. 721-736.

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In this paper we introduce the class of Boolean algebras with an operator between the algebra and the set of ideals of the algebra. This is a generalization of the Boolean algebras with operators. We prove that there exists a duality between these algebras and the Boolean spaces with a certain relation. We also give some applications of this duality.
DOI : 10.21136/MB.2001.134115
Classification : 03G05, 06E25
Keywords: Boolean algebras; modal algebras; Boolean spaces with relations 
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Celani, Sergio. Quasi-modal algebras. Mathematica Bohemica, Tome 126 (2001) no. 4, pp. 721-736. doi : 10.21136/MB.2001.134115. http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.134115/

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