Imploring interior ge-filters in ge-algebras

Sun Shin Ahn, Ravikumar Bandaru, Young Bae Jun

Research output: Contribution to journalArticlepeer-review

Abstract

The concept of an imploring interior GE-filter is introduced, and their properties are investigated. The relationship between an interior GE-filter and an imploring interior GE-filter are discussed. Example to show that any interior GE-filter is not an imploring interior GE-filter is provided. Conditions for an interior GE-filter to be an imploring interior GE-filter are given. Examples to show that an imploring interior GE-filter is independent to a belligerent interior GE-filter are provided. Conditions for an imploring interior GE-filter to be a belligerent interior GE-filter are given. The relationship between imploring interior GE-filter and prominent interior GE-filter are discussed. Example to show that any imploring interior GE-filter is not a prominent interior GE-filter is provided. Conditions for an imploring interior GE-filter to be a prominent interior GE-filter are given. Also, conditions under which an interior GE-filter larger than a given interior GE-filter can become an imploring interior GE-filter are considered.

Original languageEnglish
Pages (from-to)855-868
Number of pages14
JournalAIMS Mathematics
Volume7
Issue number1
DOIs
StatePublished - 2022

Keywords

  • (pre-transitive) GE-algebra
  • GE-filter
  • Imploring interior GE-filter
  • Interior GE-filter
  • Prominent interior GE-filter

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