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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 relationship between a GE-filter, an imploring GE-filter, a belligerent GE-filter, and a prominent ...
Seok-Zun Song, Ravikumar Bandaru, Young Bae Jun   +2 more
openaire   +3 more sources

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, Saeid, Arsham Borumand, Jun, Young Bae   +2 more
openaire   +2 more sources

Interior GE-filters of GE-algebras

Discussiones Mathematicae - General Algebra and Applications, 2022
Summary: 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.
Song Seok-Zun, Bandaru Ravikumar, Romano Daniel A., Jun Young Bae   +3 more
openaire   +2 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. Further, it is shown that a finite product (union) of belligerent fuzzy GE‐filters of GE‐algebras is a belligerent fuzzy GE‐filter of the finite product
Teferi Getachew Alemayehu, Yeshiwas Mebrat Gubena   +1 more
openaire   +2 more sources

Prominent interior GE-filters of GE-algebras

AIMS Mathematics, 2021
<abstract><p>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-filter and a prominent interior GE-filter are discussed.
Seok-Zun Song, Ravikumar Bandaru, Young Bae Jun   +2 more
openaire   +2 more sources

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, Manzoor Kaleem Shaik, Ravikumar Bandaru, Young Bae Jun   +3 more
openaire   +1 more source

Imploring interior GE-filters in GE-algebras

AIMS Mathematics, 2021
<abstract><p>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. Example to show that any interior GE-filter is not an imploring interior GE-filter is provided.
Sun Shin Ahn, Ravikumar Bandaru, Young Bae Jun   +2 more
openaire   +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 GE-filters (resp., GE-ideals) is generally not a strong GE-filters (resp., GE-ideal) by example ...
Mehmet Ali Öztürk, Jeong-Gon Lee, Ravikumar Bandaru, Young Bae Jun   +3 more
openaire   +3 more sources

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. The relationship between a fuzzy GE-filter and a prominent fuzzy GE-filter is discussed, and the characterization of a prominent fuzzy GE-filter is considered. The conditions under which a fuzzy GE-filter can
Sun Shin Ahn, Rajab Ali Borzooei, Young Bae Jun   +2 more
openaire   +2 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. GE-filter study at GE-algebra using interior operator was conducted by Song et al. In this paper, various properties that belligerent interior GE-filter
Daniel A. Romano, Ravikumar Bandaru, Seok-Zun Song, Young Bae Jun   +3 more
openaire   +2 more sources