Abstract
Heyting and dual Heyting arrow operations relating non-comparable elements of finite relatively pseudo-complemented lattices being pseudo-Boolean algebras ( L) gave place to new structures named Heyting arrow ( L F ) and dual Heyting arrow lattices ( L F) (though sometimes they are only posets). They were used for analyzing qualitative relations in biological systems by means of isomorphisms relating the lattice elements with energy states identified through abstract relational concepts describing the system being represented. This paper considers the problem of connecting the poset L F with the posets L F (κ) corresponding to the epimorphic images L κ of a pseudo-Boolean lattice L.
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