Interior GE-filters of GE-algebras

Ravikumar Bandaru, Young Bae Jun, Daniel A. Romano, Seok-Zun Song · Discussiones Mathematicae - General Algebra and Applications · 2022

The notions of an interior GE-filter, a weak interior GE-filter and a belligerent interior GE-filter are introduced, and their relations and properties are investigated. Example of a GE-filter which is neither an interior GE-filter nor a weak interior GE-filter is provided. Relations between a weak interior GE-filter and an interior GE-filter are discussed, and conditions under which every weak interior GE-filter is an interior GE-filter are investigated. Relations between a belligerent interior GE-filter and an interior GE-filter are displayed, and conditions for an interior GE-filter to be a belligerent interior 1 Correponding author.

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