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Dokdo BE-subalgebras and BE-filters of BE-algebras
- Authors
- Jun, Young Bae; Ahn, Sun Shin; Roh, Eun Hwan
- Issue Date
- Oct-2022
- Publisher
- EUROPEAN JOURNAL PURE & APPLIED MATHEMATICS
- Keywords
- Weak Dokdo BE-subalgebra; Dokdo BE-subalgebra; Dokdo BE-filter
- Citation
- European Journal of Pure and Applied Mathematics, v.15, no.4, pp 1521 - 1535
- Pages
- 15
- Indexed
- SCOPUS
ESCI
- Journal Title
- European Journal of Pure and Applied Mathematics
- Volume
- 15
- Number
- 4
- Start Page
- 1521
- End Page
- 1535
- ISSN
- 1307-5543
- 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.
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