The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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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
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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.

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