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TRANSITIVE AND ABSORBENT FILTERS OF LATTICE IMPLICATION ALGEBRAS
TRANSITIVE AND ABSORBENT FILTERS OF LATTICE IMPLICATION ALGEBRAS
Journal of applied mathematics & informatics. 2014. May, 32(3_4): 323-330
  • Received : April 25, 2013
  • Published : May 30, 2014
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Rao M. Sambasiva

Abstract
The notion of transitive filters is introduced in lattice implication algebras. A necessary and sufficient condition is derived for every filter to become a transitive filter. Some sufficient conditions are also derived for a filter to become a transitive filter. The concept of absorbent filters is introduced and their properties are studied. A set of equivalent conditions is obtained for a filter to become an absorbent filter.
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