Dokdo BE-subalgebras and BE-filters of BE-algebras

Young Bae Jun, Sun Shin Ahn, Eun Hwan Roh

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)1521-1535
Number of pages15
JournalEuropean Journal of Pure and Applied Mathematics
Volume15
Issue number4
DOIs
StatePublished - Oct 2022

Keywords

  • Dokdo BE-filter
  • Dokdo BE-subalgebra
  • Weak Dokdo BE-subalgebra

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