Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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CLOSED AND DENSE ELEMENTS OF BE-ALGEBRAS

  • Prabhakar, M.Bala (Department of Mathematics, Aditya Engineering College(A)) ;
  • Vali, S.Kalesha (Department of Mathematics, JNTUK University College of Engineering) ;
  • Sambasiva Rao., M. (Department of Mathematics, MVGR College of Engineering(A))
  • Received : 2018.10.22
  • Accepted : 2019.01.10
  • Published : 2019.02.15
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Abstract

The notions of closed elements and dense elements are introduced in BE-algebras. Characterization theorems of closed elements and closed filters are obtained. The notion of dense elements is introduced in BE-algebras. Dense BE-algebras are characterized with the help of maximal filters and congruences. The concept of D-filters is introduced in BE-algebras. A set of equivalent conditions is derived for every D-filter to become a closed filter.

Keywords

References

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