Àlgebres quasi-hilbertianes

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 exis...

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Detalles Bibliográficos
Autores: Pla i Carrera, Josep, Verdú, B. (Buenaventura)
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1980
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/132752
Acceso en línea:https://hdl.handle.net/2445/132752
Access Level:acceso abierto
Palabra clave:Àlgebres de Hilbert
Hilbert algebras
Descripción
Sumario: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.