Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 1997; 34(2): 193-198

Printed June 1, 1997

Copyright © The Korean Mathematical Society.

Implicative filters of lattice implication algebras

Young Bae Jun

Gyeongsang National University

Abstract

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We give an equivalent condition of a filter, and provide some equivalent conditions that a filter is an implicative filter in a lattice implication algebra. By using these results, we construct an extension property for implicative filter.

Keywords: lattice implication algebra, (implicative) filter

MSC numbers: 03G10, 06B10

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