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http://dx.doi.org/10.14403/jcms.2014.27.3.419

ON POSITIVE IMPLICATIVE FILTERS IN BE-ALGEBRAS  

Kim, Young Hee (Department of Mathematics Chungbuk National University)
Park, Jung Hee (Department of Mathematics Chungbuk National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.3, 2014 , pp. 419-426 More about this Journal
Abstract
In this paper, we introduce the notion of a positive implicative filter in BE-algebras. We show that every positive implicative filter is a filter in BE-algebras. We give some examples that a filter may not be a positive implicative filter and also a positive implicative filter may be not an implicative filter in BE-algebras. We also give some equivalent conditions of a positive implicative filter in BE-algebras.
Keywords
BE-algebra; (positive implicative) filter; self distributive;
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Times Cited By KSCI : 3  (Citation Analysis)
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