INVESTIGADORES
CELANI Sergio Arturo
artículos
Título:
A NOTE ON HOMOMORPHISMS OF HILBERT ALGEBRAS
Autor/es:
SERGIO ARTURO CELANI
Revista:
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Editorial:
Hindawi Publishing Corporation.
Referencias:
Año: 2002 vol. 29 p. 55 - 61
ISSN:
0161-1712
Resumen:
We give a representation theorem for Hilbert algebras by means of ordered sets and characterizethe homomorphisms of Hilbert algebras in terms of applications defined betweenthe sets of all irreducible deductive systems of the associated algebras. For this purposewe introduce the notion of order-ideal in a Hilbert algebra and we prove a separation theorem.We also define the concept of semi-homomorphism as a generalization of the similarnotion of Boolean algebras and we study its relation with the homomorphism and with thedeductive systems.
