Commutative ideals of bck-algebras and bci-algebras based on soju structures

Seok Zun Song, Hee Sik Kim, Young Bae Jun

Research output: Contribution to journalArticlepeer-review

Abstract

The concept of a commutative soju ideal in a BCK-algebra and a BCI-algebra is introduced, and their properties are investigated. The relationship between a soju ideal and a commutative soju ideal are discussed, and examples to show that any soju ideal may not be a commutative soju ideal are provided. Conditions for a soju ideal to be a commutative soju ideal are considered, and characterizations of a commutative soju ideal are studied. A new commutative soju ideal using the given commutative soju ideal is maded, and the extension property for a commutative soju ideal is established. A commutative soju ideal is established by using a commutative ideal of a BCI-algebra. The notion of a closed soju ideal in a BCI-algebra is also introduced, and it is used in studying the characterization of a commutative soju ideal.

Original languageEnglish
Pages (from-to)8567-8584
Number of pages18
JournalAIMS Mathematics
Volume6
Issue number8
DOIs
StatePublished - 2021 Jun 7

Keywords

  • Closed soju ideal
  • Commutative soju ideal
  • Soju ideal

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