Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2001; 38(1): 191-195

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

A note on lattice implication algebras

Zhu Yiquan and Tu Wenbiao

Huanggang Normal University, Nantong Normal University

Abstract

In this paper, a simple axiom system of lattice implication algebras is presented, it is convenient for verifying whether an algebra of type (2,2,2,1,0,0) becomes a lattice implication algebra.

Keywords: lattice, lattice implication algebra, axiom system, $BCK$-algebra

MSC numbers: 03G10, 06B10, 54E15