A study on fuzzy 2-absorbing primary Г-ideals in Г-rings

In this paper, we initiate the study of a generalization of fuzzy primary ?-ideals in ?-rings by introducing fuzzy 2-absorbing primary ?-ideals and fuzzy strongly 2-absorbing primary ?-ideals. The notions of a fuzzy 2-absorbing primary ?-ideal, fuzzy strongly 2-absorbing primary ?-ideal and fuzzy we...

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Veröffentlicht in:Filomat 2017, Vol.31 (18), p.5753-5767
Hauptverfasser: Onar, Serkan, Sönmez, Deniz, Ersoy, Bayram, Yeşilot, Gürsel, Hila, Kostaq
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we initiate the study of a generalization of fuzzy primary ?-ideals in ?-rings by introducing fuzzy 2-absorbing primary ?-ideals and fuzzy strongly 2-absorbing primary ?-ideals. The notions of a fuzzy 2-absorbing primary ?-ideal, fuzzy strongly 2-absorbing primary ?-ideal and fuzzy weakly completely 2-absorbing primary ?-ideal are defined and their structural characteristics and properties are investigated. The notion of a fuzzy K-2-absorbing primary ?-ideal is introduced and several of its properties are investigated. Finally, the relationships between fuzzy 2-absorbing primary ?-ideals of a ?-ring are examined. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1718753O