ON THE VARIETIES P2m,0 OF OCKAM ALGEBRAS
Institut de Mathématique, Université de Liège, 12 Grande traverse, B37, Sart Tilman, B-4000 Liège, Belgique
Departemento de Matemática, Facultade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta de Torre, P-2829-516 Caparica, Portugal and Centro de Álgebra da Univeresidade de Lisboa, av. Prof. Gama Pinto 2, P-1649-003 Lisboa, Portugal
Abstract
We consider the varieties P2m,0 of Ockam algebras, i.e., those in which for any element x of the dual space X of the algebra, the equality g2m(x) = x holds. We show that these varieties have specific properties and consequently are more tractable than the others. In particular, all the subvarieties of P2m,0 can be characterised by axioms that are self-dual. We apply these properties to the description of P6,0 and P10,0.