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 |
|---|---|
| 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