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

Authors

  • Young Bae Jun
  • Sun Shin Ahn
  • Eun Hwan Roh

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i4.4510

Keywords:

Weak Dokdo BE-subalgebra, Dokdo BE-subalgebra

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.

Downloads

How to Cite

Jun, Y. B., Ahn, S. S., & Roh, E. H. (2022). Dokdo BE-subalgebras and BE-filters of BE-algebras. European Journal of Pure and Applied Mathematics, 15(4), 1521–1535. https://doi.org/10.29020/nybg.ejpam.v15i4.4510