- Journal Details
- Format
- Journal
- eISSN
- 2084-0373
- First Published
- 16 Apr 2017
- Publication timeframe
- 2 times per year
- Languages
- English
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 GE-filter are considered. Given a subset and an element, an interior GE-filter is established, and conditions for a subset to be a belligerent interior GE-filter are discussed. The extensibility of the beligerant interior GE-filter is debated. Relationships between weak interior GE-filter and belligerent interior GE-filter of type 1, type 2 and type 3 are founded.
Keywords
- (transitive, left exchangeable) GE-algebra
- GE-filter
- belligerent GE-filter
- (weak) interior GE-filter
- belligerent interior GE-filter (of type 1, type 2 and type 3)
MSC 2010
- 03G25
- 06F35
On the Structure Space of a Г -Semigroup Via Its Left Operator Semigroup Study of Additively Regular Г -Semirings and Derivations Hyper Rl-Ideals in Hyper Residuated Lattices Generalized Centroid of Hyperrings Fuzzy Distributive Pairs in Fuzzy Lattices Interior GE-Filters of GE-Algebras Disjunctive Ideals of Almost Distributive Lattices Prime Ideals of Transitive BE -AlgebrasNew Kinds of Prefilters in EQ-Algebras Order of Finite Soft Quasigroups with Application to Egalitarianism Stone Commutator Lattices and Baer Rings