Dokdo filters and deductive systems of Sheffer stroke Hilbert algebras

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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

To investigate the filter and deductive system of the Schaefer stroke Hilbert algebra using the Dokdo structure, the concept of Dokdo filter and Dokdo deductive system is defined, examples are given, and various properties are investigated. The Dokdo filter is formed by attaching appropriate conditions to the given Dokdo structure. Characterization of Dokdo filter is studied. Dokdo filters related to filters are constructed. Dokdo filter and Dokdo deductive system turn out to be the same concept.

Original languageEnglish
Pages (from-to)1862-1877
Number of pages16
JournalEuropean Journal of Pure and Applied Mathematics
Volume16
Issue number3
DOIs
StatePublished - Jul 2023

Keywords

  • deductive system
  • Dokdo deductive system
  • Dokdo filter
  • filter
  • Sheffer stroke Hilbert algebra

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