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http://dx.doi.org/10.14317/jami.2014.323

TRANSITIVE AND ABSORBENT FILTERS OF LATTICE IMPLICATION ALGEBRAS  

Rao, M. Sambasiva (Department of Mathematics, MVGR College of Engineering)
Publication Information
Journal of applied mathematics & informatics / v.32, no.3_4, 2014 , pp. 323-330 More about this Journal
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.
Keywords
Lattice implication algebra; filter; transitive filter; absorbent filter; associative filter;
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