• LEE, HYE RAN ;
  • Received : 2015.02.16
  • Accepted : 2015.03.15
  • Published : 2015.06.25


The notion of a mighty (vague) filter in a BE-algebra is introduced, and the relation between a (vague) filter and a mighty (vague) filter are given. We investigate an equivalent condition for a (vague) filter to be mighty, and state an extension property for mighty filter. Also we define the notion of an n-fold mighty filter which is an extended notion of a mighty filter in a BE-algebra. Characterizations of an n-fold mighty filter are given. Extension property for an n-fold mighty filter are provided.


BE-algebra;filter;mighty (vague) filter


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Cited by

  1. INT-SOFT MIGHTY FILTERS IN BE-ALGEBRAS vol.34, pp.5_6, 2016,