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 language | English |
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Pages (from-to) | 855-868 |
Number of pages | 14 |
Journal | AIMS Mathematics |
Volume | 7 |
Issue number | 1 |
DOIs | |
State | Published - 2022 |
Keywords
- (pre-transitive) GE-algebra
- GE-filter
- Imploring interior GE-filter
- Interior GE-filter
- Prominent interior GE-filter