MATHEMATICAL PROBLEMS IN ENGINEERING, vol.2022, pp.1-10, 2022 (Journal Indexed in SCI Expanded)
Article / Article
MATHEMATICAL PROBLEMS IN ENGINEERING
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Yıldız Technical University Affiliated:
This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r-hyperideals in 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 are also an r-hyperideal. We also introduce a generalization of r-hyperideals, and we prove some properties of them.