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Abstract
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.
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Details
1 School of Computer Science of Information Technology, Qiannan Normal University for Nationalities, Duyun, 558000 Guizhou, P. R. China
2 Department of Mathematics, Yildiz Technical University, Istanbul, Turkey
3 Department of Mathematics and Science Education, Istanbul Sabahattin Zaim University, Istanbul, Turkey
4 Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey