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Generalized join-hemimorphisms on Boolean algebras

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  • Sergio Celani

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.

Suggested Citation

  • Sergio Celani, 2003. "Generalized join-hemimorphisms on Boolean algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:960209
    DOI: 10.1155/S016117120311112X
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