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http://dx.doi.org/10.14317/jami.2015.739

ON QUASI-LATTICE IMPLICATION ALGEBRAS  

YON, YONG HO (Division of Information and Communication Convergence Engineering, Mokwon University)
Publication Information
Journal of applied mathematics & informatics / v.33, no.5_6, 2015 , pp. 739-748 More about this Journal
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 ΦF induced by a filter F and show that every congruence relation on a quasi-lattice implication algebra is a congruence relation ΦF induced by a filter F.
Keywords
quasi-lattice implication algebras; lattice implication algebras; filters; congruence relations;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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