Generalized join-hemimorphisms on Boolean algebras

Sergio Celani

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-13

Abstract:

We introduce the notions of generalized join-hemimorphism and generalized Boolean relation as an extension of the notions of join-hemimorphism and Boolean relation, respectively. We prove a duality between these two notions. We will also define a generalization of the notion of Boolean algebra with operators by considering a finite family of Boolean algebras endowed with a generalized join-hemimorphism. Finally, we define suitable notions of subalgebra, congruences, Boolean equivalence, and open filters.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:960209

DOI: 10.1155/S016117120311112X

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