The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 15 Issue 3
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- Pages.309-313
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- 2008
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
CENTRAL HILBERT ALGEBRAS
- Jun, Young-Bae (Department of Mathematics Education (and RINS), Gyeongsang National University) ;
- Park, Chul-Hwan (Department of Mathematics, University of Ulsan)
- Published : 2008.08.31
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.