Repositorio

Sobre àlgebres quasi-hilbertianes

Pla i Carrera, Josep, Verdú, B. (Buenaventura)
In this paper we study the algebras obtained by having the deduction theorem on the sets of two elements, calling them Q.H. -algebras. Adding to them the FREGE'S law, we obtain a Hilbert algebra ; adding to them the law (x.y).y = (y.x).x, we obtain that thay form a variety; suposing the existence of a least element to the later , we obtain an ortolattice wich gives a boolean algebra on an ortomodular lattice, according to the nature of implication classical or strong
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