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Introducció d'interiors d'ordre en lògiques abstractes
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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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FONT LLOVET, Josep Maria. Introducció d'interiors d'ordre en lògiques abstractes. Publicacions Matemàtiques. 1980. Vol. 20, num. 79-82. ISSN 0214-1493. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/132723