INVESTIGADORES
SAN MARTIN Hernan Javier
artículos
Título:
Variations of the free implicative semilattice extension of a Hilbert algebra
Autor/es:
JOSÉ LUIS CASTIGLIONI; HERNÁN JAVIER SAN MARTÍN
Revista:
SOFT COMPUTING - (Print)
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2019 vol. 23 p. 4633 - 4641
ISSN:
1472-7643
Resumen:
In [On the free implicative semilattice extension of a Hilbert algebra. Mathematical Logic Quarterly 58, 3 (2012), 188--207], Celani and Jansana give an explicit description of the free implicative semilattice extension of a Hilbert algebra. In this paper we give an alternative path conducing to this construction. Furthermore, following our procedure, we show that an adjunction can be obtained between the algebraic categories of Hilbert algebras with supremum and that of generalized Heyting algebras. Finally, in last section we describe a functor from the algebraic category of Hilbert algebras to that of generalizedHeyting algebras, of possible independent interest.
