Introducció d'interiors d'ordre en lògiques abstractes
Let L = (S,C) be an abstract logic ( El]) . Using the methods of 131 we study the abstract logic . Lo = (S,C0) agsociated with 11,=1X C- S :X=C(X), f (XXX } for a given mapping f: S > S . We see that Lo preserves several logical properties of L . We state necessary and sufficient conditions on C...
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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:2445/132723 |
| Acceso en línea: | https://hdl.handle.net/2445/132723 |
| Access Level: | acceso abierto |
| Palabra clave: | Lògica matemàtica Àlgebra abstracta Mathematical logic Abstract algebra |
| Sumario: | Let L = (S,C) be an abstract logic ( El]) . Using the methods of 131 we study the abstract logic . Lo = (S,C0) agsociated with 11,=1X C- S :X=C(X), f (XXX } for a given mapping f: S > S . We see that Lo preserves several logical properties of L . We state necessary and sufficient conditions on C to obtain separately the three properties of an interior mapping on the logical quotient of S by C, when the last is an ordered set, a semilattice, or an implicative algebra. |
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