Central Hilbert Algebras

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2008, v.15 no.3, pp.309-313

Jun, Young-Bae (Department of Mathematics Education (and RINS), Gyeongsang National University)
Park, Chul-Hwan (Department of Mathematics, University of Ulsan)

Jun, Young-Bae, & Park, Chul-Hwan. (2008). CENTRAL HILBERT ALGEBRAS. 한국수학교육학회지시리즈B:순수및응용수학, 15(3), 309-313.

복사

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.

keywords: (central) Hilbert algebra, central part, central deductive system

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논문 상세

Vol.15 No.3

CENTRAL HILBERT ALGEBRAS

Central Hilbert Algebras

Abstract

한국수학교육학회지시리즈B:순수및응용수학