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Cyclic Tarski algebras

Published online by Cambridge University Press:  17 April 2009

Marta A. Zander
Marta A. Zander
Affiliation:
Departamento de Matemática, Universidad Nacional del Sur, 8000 Bahía Blanca, Argentina, e-mail: [email protected]
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The variety of cyclic Boolean algebras is a particular subvariety of the variety of tense algebras. The objective of this paper is to study the variety  of {→,g, h}-subreducts of cyclic Boolean algebras, which we call cyclic Tarski algebras. We prove that  is generated by its finite members and we characterise the locally finite subvarieties of . We prove that there are no splitting varieties in the lattice Λ() of subvarieties of . Finally, we prove that the subquasivarieties and the subvarieties of a locally finite subvariety of  coincide.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 147 - 158
Copyright
Copyright © Australian Mathematical Society 2006

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