Prelinear Hilbert algebras
Copyright policy )Prelinear Hilbert algebras
In this paper we give an explicit description of the left adjoint of the forgetful functor from the algebraic category of Gödel algebras (i.e., prelinear Heyting algebras) to the algebraic category of bounded prelinear Hilbert algebras. We apply this result in order to study possible descriptions of the coproduct of two finite algebras in the algebraic category of prelinear Hilbert algebras.
FREE ALGEBRA, COPRODUCT, Mathematics - Logic, Special properties of functors (faithful, full, etc.), HILBERT ALGEBRAS, Heyting algebras (lattice-theoretic aspects), FOS: Mathematics, https://purl.org/becyt/ford/1.1, Preorders, orders, domains and lattices (viewed as categories), GODEL ALGEBRAS, https://purl.org/becyt/ford/1, Logic (math.LO)
FREE ALGEBRA, COPRODUCT, Mathematics - Logic, Special properties of functors (faithful, full, etc.), HILBERT ALGEBRAS, Heyting algebras (lattice-theoretic aspects), FOS: Mathematics, https://purl.org/becyt/ford/1.1, Preorders, orders, domains and lattices (viewed as categories), GODEL ALGEBRAS, https://purl.org/becyt/ford/1, Logic (math.LO)
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