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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.15 No.3

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Central Hilbert Algebras

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Park, Chul-Hwan
Jun,, Y. , & Park,, C. (2008). Central Hilbert Algebras. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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