Sobre 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 existen...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1980 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/132419 |
| Acceso en línea: | https://hdl.handle.net/2445/132419 |
| Access Level: | acceso abierto |
| Palabra clave: | Àlgebra Espais de Hilbert Algebra Hilbert space |
| 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 |
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