Characterizations of non-associative rings by the properties of their fuzzy ideals

In this paper, we extend the characterizations of Kuroki [Regular fuzzy duo rings. Inform Sci. 1996;96:119-139], by initiating the concept of fuzzy left (resp. right, interior, quasi-, bi-, generalized bi-) ideals in a class of non-associative and non-commutative rings (LA-ring). We characterize reg...

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Veröffentlicht in:	Journal of Taibah University for Science 2019-12, Vol.13 (1), p.820-833
Hauptverfasser:	Kausar, Nasreen, Islam, Badar ul, Javaid, Muhammad Yasar, Ahmad, Syed Amjad, Ijaz, Umer
Format:	Artikel
Sprache:	eng
Schlagworte:	Fuzzy left ideal fuzzy right ideal intra-regular LA-ring regular LA-ring
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Zusammenfassung:	In this paper, we extend the characterizations of Kuroki [Regular fuzzy duo rings. Inform Sci. 1996;96:119-139], by initiating the concept of fuzzy left (resp. right, interior, quasi-, bi-, generalized bi-) ideals in a class of non-associative and non-commutative rings (LA-ring). We characterize regular (intra-regular, both regular and intra-regular) LA-rings in terms of such ideals.
ISSN:	1658-3655 1658-3655
DOI:	10.1080/16583655.2019.1644817