학술저널
ON POSITIVE IMPLICATIVE FILTERS IN BE-ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 3
-
2014.08419 - 426 (8 pages)
- 2
In this paper, we introduce the notion of a positive im- plicative ¯lter in BE-algebras. We show that every positive implica-tive ¯lter is a ¯lter in BE-algebras. We give some examples that a ¯lter may not be a positive implicative ¯lter and also a positive implicative ¯lter may be not an implicative ¯lter in BE-algebras. We also give some equivalent conditions of a positive implicative¯lter in BE-algebras.
1. Introduction
2. Preliminaries
3. Positive implicative ¯lters
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