r-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings

2021/10/19 by Xu, Peng, Bolat, Melis, Kaya, Elif +3
#13A15 #13C05 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2110.10264

Abstract

In this study, we examine some properties of r-hyperideals in the commutative Krasner hyperrings. Some properties of pr-hyperideals are also studied. The relation between prime hyperideals and r-hyperideals is investigated. We show that the image and the inverse image of an r-hyperideal is also an r-hyperideal. We also introduce a generalization of r-hyperideals and we prove some properties of them.

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