Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras
Abstract: 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. We proved that the intersection of strong fuzzy GE-filters (fuzzy GE-ideals) is a strong fuzzy GE-filter (fuzzy GE-ideal). We studied the conditions for a fuzzy subset of a bordered GE-algebra to be a strong fuzzy GE-filter and the characterization of a strong fuzzy GE-filter. We studied that under some conditions, any fuzzy subset of a bordered GE-algebra can be a fuzzy GE-ideal. A given fuzzy GE-ideal and an element in a bordered fuzzy GE-algebra is established.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras ; volume:11 ; number:1 ; year:2023 ; extent:10
Topological algebra and its applications ; 11, Heft 1 (2023) (gesamt 10)
- Creator
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Alemayehu, Teferi Getachew
Eshetie, Workaferahu Solomon
Bandaru, Ravikumar
Jun, Young Bae
- DOI
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10.1515/taa-2023-0104
- URN
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urn:nbn:de:101:1-2023120213065391843046
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:34 AM CEST
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Associated
- Alemayehu, Teferi Getachew
- Eshetie, Workaferahu Solomon
- Bandaru, Ravikumar
- Jun, Young Bae
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Fuzzy n-Jordan *-homomorphisms in induced fuzzy C*-algebras
L-fuzzy pre-proximities, L-fuzzy filters and L-fuzzy grills
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