학술저널
CLOSED AND DENSE ELEMENTS OF BE-ALGEBRAS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 32, No. 1
-
2019.0253 - 67 (15 pages)
- 2
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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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