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KCI등재 학술저널

CLOSED AND DENSE ELEMENTS OF BE-ALGEBRAS

  • 2

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.

1. Introduction

2. Preliminaries

3. Closed elements of BE-algebras

4. Dense elements of BE-algebras

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