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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.15 No.3

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CENTRAL HILBERT ALGEBRAS

Central Hilbert Algebras

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 15(3), 309-313.

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

한국수학교육학회지시리즈B:순수및응용수학

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