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ON QUASI-LATTICE IMPLICATION ALGEBRAS
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 Title & Authors
ON QUASI-LATTICE IMPLICATION ALGEBRAS
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 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;
 Language
English
 Cited by
 References
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