Abstract
With the aim of applying the Dokdo structure to BE-algebra, the notions of (weak) Dokdo BE-subalgebra and Dokdo BE-filter are introduced, and their properties are investigated. The relationship between weak Dokdo BE-subalgebra, Dokdo BE-subalgebra and Dokdo BE-filter is established. The conditions under which Dokdo structure can be weak Dokdo BE-subalgebra and Dokdo BE-filter, and the condition under which weak Dokdo BE-subalgebra can be Dokdo BE-subalgebra are explored. Characterizations of Dokdo BE-filter are provided.
Original language | English |
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Pages (from-to) | 1521-1535 |
Number of pages | 15 |
Journal | European Journal of Pure and Applied Mathematics |
Volume | 15 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2022 |
Keywords
- Dokdo BE-filter
- Dokdo BE-subalgebra
- Weak Dokdo BE-subalgebra