δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings

This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to ø-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity. δ-r-hyperideals of commutative Krasner hyperrings are...

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Veröffentlicht in:	Proceedings of the Estonian Academy of Sciences 2023, Vol.72 (1), p.96-103
Hauptverfasser:	Xu, P, Bolat, M, Kaya, E, Onar, S, Ersoy, B A, Hila, K
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Fuzzy sets r-hyperideal Science education δ -r-hyperideal φ -δ -primary hyperideal φ -δ -r-hyperideal
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Beschreibung
Zusammenfassung:	This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to ø-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity. δ-r-hyperideals of commutative Krasner hyperrings are studied. Some properties of ø-δ-r-hyperideals are investigated and several examples are provided.
ISSN:	1736-6046 1736-7530
DOI:	10.3176/proc.2023.1.09