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MATHEMATICA BOHEMICA, Vol. 126, No. 4, pp. 721-736 (2001)
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# Quasi-modal algebras

## Sergio Celani

* Sergio Celani*, Departamento de Matematica, Facultad de Ciencias Exactas, UNCentro, Pinto 399, 7000 Tandil, Argentina, e-mail: ` scelani@exa.unicen.edu.ar`

**Abstract:**
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.

**Keywords:** Boolean algebras, modal algebras, Boolean spaces with relations

**Classification (MSC2000):** 06E25, 03G05

**Full text of the article:**

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