Results 1 to 10 of about 1,692 (136)
Imploring GE-Filters of GE-Algebras [PDF]
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
doaj +6 more sources
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.
doaj +4 more sources
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
doaj +2 more sources
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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
Journal of Algebraic SystemsThe notions of (transitive, commutative, antisymmetric) bordered GE-algebras are introduced,and their properties are investigated. Relations between a commutative bordered GE-algebra and anantisymmetric bordered GE-algebra are considered, and also ...
Ravikumar Bandaru +2 more
doaj +3 more sources
On Implicative and Positive Implicative GE Algebras
Bulletin of the Section of Logic, 2023 GE algebras (generalized exchange algebras), transitive GE algebras (tGE algebras, for short) and aGE algebras (that is, GE algebras verifying the antisymmetry) are a generalization of Hilbert algebras. Here some properties and characterizations of these
Andrzej Walendziak
doaj +3 more sources
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
doaj +2 more sources
Bipolar fuzzy GE-algebras [PDF]
Journal of Fuzzy Extension and ApplicationsThis paper introduces the concept of a bipolar fuzzy GE-algebra within the framework of GE-algebras and explores its key properties. It offers a characterization of a bipolar fuzzy GE-algebra utilizing the negative ∈λ-set and the positive ∈α-set ...
Kyoung Ja Lee +2 more
doaj +2 more sources