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ON QUASI-LATTICE IMPLICATION ALGEBRAS
ON QUASI-LATTICE IMPLICATION ALGEBRAS
Journal of applied mathematics & informatics. 2015. Sep, 33(5_6): 739-748
  • Received : April 21, 2015
  • Published : September 30, 2015
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YON YONG HO

Abstract
The notion of quasi-lattice implication algebras is a generalization of lattice implication algebras. In this paper, we give an optimized definition of quasi-lattice implication algebra and show that this algebra is a distributive lattice and that this algebra is a lattice implication algebra. Also, we define a congruence relation ��<sub>F</sub> induced by a filter F and show that every congruence relation on a quasi-lattice implication algebra is a congruence relation ��<sub>F</sub> induced by a filter F.
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