Commutative ideals of BCK-algebras based on makgeolli structures

Seok Zun Song, Hee Sik Kim, Sun Shin Ahn, Young Bae Jun

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this paper is to study by applying the makgeolli structure to commutative ideal in BCK-algebras. The notion of commutative makgeolli ideal is introduced, and their properties are investigated. The relationship between makgeolli ideal and commutative makgeolli ideal is discussed. Example to show that a makgeolli ideal may not be a commutative makgeolli ideal is provided, and then the conditions under which a makgeolli ideal can be a commutative makgeolli ideal are explored. A new commutative makgeolli ideal is established using the given commutative makgeolli ideal, and characterizations of a commutative makgeolli ideal are displayed. Finally, the extension property for a commutative makgeolli ideal is established.

Original languageEnglish
Pages (from-to)158-173
Number of pages16
JournalJournal of Computational Analysis and Applications
Volume32
Issue number1
StatePublished - 2024

Keywords

  • BCK-soft universe
  • commutative makgeolli ideal
  • makgeolli ideal
  • makgeolli structure

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