Reports on Mathematical Logic

No. 37


M. ABAD, J. P. D\'{\i}az VARELA and M. ZANDER:

Boolean algebras with a distinguished automorphism

A b s t r a c t. In this paper we investigate a subvariety $\BA$ of tense algebras, which we call Boolean algebras with a distinguished automorphism. This variety provides a unifying framework for the algebras studied by Monteiro in [4] and by Moisil in [5,6]. Among others we prove that $\BA$ is generated by its finite members and we characterize the locally finite subvarieties of $\BA$.


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