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Interior GE-Filters of GE-Algebras
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-
Song Seok-Zun +3 more
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Belligerent Fuzzy GE-Filters on GE-Algebras
Journal of Mathematics, 2022 In this paper, the concept of belligerent fuzzy GE-filter of GE-algebra is introduced. The relationship between a fuzzy GE-filter of GE-algebra and a belligerent fuzzy GE-filter of GE-algebra is given.
Teferi Getachew Alemayehu +1 more
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The Prominentness of Fuzzy GE-Filters in GE-Algebras
International Journal of Analysis and Applications, 2023 Based on the concept of fuzzy points, the notion of a prominent fuzzy GE-filter is defined, and the various properties involved are investigated.
Sun Shin Ahn +2 more
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Strong GE-Filters and GE-Ideals of Bordered GE-Algebras
Journal of Mathematics, 2021 The notion of strong GE-filters and GE-ideals (generated) is introduced, and the related properties are investigated. The intersection of strong GE-filters (resp., GE-ideals) is proved to be a strong GE-filter (resp., GE-ideal), and the union of strong ...
Mehmet Ali Öztürk +3 more
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Discussiones Mathematicae - General Algebra and Applications, 2021 A new algebraic structure was introduced, called an eGE-algebra, which is a generalisation of a GE-algebra and investigated its properties. We explore the definition of filters and the quotient algebra associated with such filters.
Bandaru R.K., Rafi N., Rezaei A.
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Characterizations of Belligerent Interior GE-Filters in GE-Algebras
Pan-American Journal of Mathematics, 2023 The notion of GE-algebra is introduced by Bandaru et al. as a generalization of Hilbert algebra. The consept of interior GE-algebra is introduced by Lee et al., and related properties are investigated.
Daniel A. Romano +3 more
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Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras
Topological Algebra and its Applications, 2023 The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated.
Alemayehu Teferi Getachew +3 more
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Belligerent GE-filters in GE-Algebras
Journal of the Indonesian Mathematical Society, 2022 The notion of a belligerent GE-filter in a GE-algebra is introduced, and the relationships between a GE-filter and a belligerent GE-filter will be given. Conditions for a GE-filter to be a belligerent GE-filter are provided. The product and the union of GE-algebras are discussed and its properties are investigated.
Bandaru, Ravikumar +2 more
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Elitable GE-filters of bordered GE-algebras
Soft Computing, 2022 AbstractIn this paper, the notions of maximal GE-filter and prime GE-filter of a GE-algebra are introduced and the relation between them is given. Some characterizations of prime GE-filters of a transitive GE-algebra are given in terms of the GE-filter generated by a subset of a transitive GE-algebra.
Jeong-Gon Lee +3 more
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Imploring GE-Filters of GE-Algebras
Journal of Mathematics, 2021 Relations between a transitive GE-algebra, a belligerent GE-algebra, an antisymmetric GE-algebra, and a left exchangeable GE-algebra are displayed. A new substructure, so called imploring GE-filter, is introduced, and its properties are investigated. The
Seok-Zun Song +2 more
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