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All Journal Journal of the Indonesian Mathematical Society
Young Bae Jun
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Mathematics

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Internal and External Cubic Subalgebras of BCK/BCI-Algebras Hashem Bordbar; Mohammad Mehdi Zahedi; Young Bae Jun
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 1 (MARCH 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.1.968.48-63

Abstract

A characterization of cubic subalgebra is established. The notion of internal and external cubic subalgebra in BCK/BCI-algebra and several properties are investigated. The R-union, R-intersection, P-union, and P-intersection of internal and external cubic subalgebras in BCK/BCI-algebra are discussed.
Belligerent GE-filters in GE-Algebras Ravikumar Bandaru; Arsham Borumand Saeid; Young Bae Jun
Journal of the Indonesian Mathematical Society VOLUME 28 NUMBER 1 (MARCH 2022)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.28.1.1056.31-43

Abstract

The notion of a belligerent GE-filter in a GE-algebra is introduced, and the relationships between a GE-filter and a belligerent GE-filter will be given. Conditions for a GE-filter to be a belligerent GE-filter are provided. The product and the union of GE-algebras are discussed and its properties are investigated.
Co-Authors Arsham Borumand Saeid Hashem Bordbar Mohammad Mehdi Zahedi Ravikumar Bandaru