Construction of bck-neighborhood systems in a d-algebra

Hee Sik Kim, J. Neggers, Sun Shin Ahn

Research output: Contribution to journalArticlepeer-review


The BCK-neighborhood systems in d-algebras as measures of distance of these algebras from BCK-algebras is introduced. We consider examples of various cases and situations related to the general theory, as well as a compilcated analytical example of one of particular interest in the theory of pseudo-BCK-algebras. It appears also that a digraph theory may play a constructive role in this case as it dose in the theory of BCK-algebras.

Original languageEnglish
Pages (from-to)9422-9435
Number of pages14
JournalAIMS Mathematics
Issue number9
StatePublished - 2021


  • BCK-neighborhood system
  • D-algebra


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