@article{Ahn2022, 
author = {Sun Shin Ahn and Ravikumar Bandaru and Young Bae Jun},
title = {Imploring interior GE-filters in GE-algebras},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {855-868},
keywords = {(pre-transitive) GE-algebra, GE-filter, interior GE-filter, imploring interior GE-filter, prominent interior GE-filter},
url = {https://www.sciopen.com/article/10.3934/math.2022051},
doi = {10.3934/math.2022051},
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.}
}