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Dokdo BE-subalgebras and BE-filters of BE-algebrasopen access

Authors
Jun, Young BaeAhn, Sun ShinRoh, Eun Hwan
Issue Date
Oct-2022
Publisher
New York Business Global
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
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/2465
DOI
10.29020/nybg.ejpam.v15i4.4510
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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