Central Hilbert Algebras
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The notion of central Hilbert algebras and central deductive systems is introduced, and related properties are investigated. We show that the central part of a Hilbert algebra is a deductive system. Conditions for a subset of a Hilbert algebra to be a deductive system are given. Conditions for a subalgebra of a Hilbert algebra to be a deductive system are provided.
Abstract
The notion of central Hilbert algebras and central deductive systems is introduced, and related properties are investigated. We show that the central part of a Hilbert algebra is a deductive system. Conditions for a subset of a Hilbert algebra to be a deductive system are given. Conditions for a subalgebra of a Hilbert algebra to be a deductive system are provided.
참고문헌 (7)
- D. Busneag, "A note on deductive systems of a Hilbert algebra", Kobe J. Math, 2, pp.29~35 (1985)
- I. Chajda, "The lattice of deductive systems on Hilbert algebras", SEA Bull. Math, 26, pp.21~26 (2002)
- I. Chajda, "Annihilators and deductive systems in commutative Hilbert algebras", Comment. Math. Univ. Carolinae, 43(3), pp.407~417 (2002)
- A. Diego, "Sur les algebres de Hilbert", Collection de Logigue Math. Ser. A, 21, pp.1~52 (1966)
- Y.B. Jun, "Deductive systems of Hilbert algebras", Math. Jpn, 43(1), pp.51~54 (1996)
- :Commutative Hilbert algebras.Soochow J.Math.22, "Commutative Hilbert algebras", Soochow J. Math, 22(4), pp.477~484 (1996)
- Y.B. Jun, "The abysm of a Hilbert algerba", Sci. Math. Jpn, 65(1), pp.135~140 (2007), 1055-1060