Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 2014.04.17
  • Accepted : 2014.07.10
  • Published : 2014.08.15
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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

References

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  1. INT-SOFT MIGHTY FILTERS IN BE-ALGEBRAS vol.34, pp.5_6, 2016, https://doi.org/10.14317/jami.2016.527