Results 1 to 10 of about 1,592 (100)

Interior GE-Algebras [PDF]

Journal of Mathematics, 2021
The concepts of (commutative, transitive, left exchangeable, belligerent, antisymmetric) interior GE-algebras and bordered interior GE-algebras are introduced, and their relations and properties are investigated.
Jeong-Gon Lee, Ravikumar Bandaru, Kul Hur, Young Bae Jun   +3 more
doaj   +7 more sources

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, Ravikumar Bandaru, Young Bae Jun   +2 more
doaj   +3 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, Yeshiwas Mebrat Gubena   +1 more
doaj   +2 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

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, Ravikumar Bandaru, Seok-Zun Song, Young Bae Jun   +3 more
doaj   +2 more sources

Bipolar fuzzy GE-algebras [PDF]

Journal of Fuzzy Extension and Applications
This 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, Ravikumar Bandaru, Young Jun   +2 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, Jeong-Gon Lee, Ravikumar Bandaru, Young Bae Jun   +3 more
doaj   +3 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, Bandaru Ravikumar, Romano Daniel A., Jun Young Bae   +3 more
doaj   +2 more sources

Imploring interior GE-filters in GE-algebras

AIMS Mathematics, 2022
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.
Sun Shin Ahn, Ravikumar Bandaru, Young Bae Jun   +2 more
doaj   +2 more sources

Prominent interior GE-filters of GE-algebras

AIMS Mathematics, 2021
The concept of a prominent interior GE-filter (of type 1 and type 2) is introduced, and their properties are investigated. The relationship between a prominent GE-filter and a prominent interior GE-filter and the relationship between an interior GE ...
Seok-Zun Song, Ravikumar Bandaru , Young Bae Jun   +2 more
doaj   +2 more sources