r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings
Mathematical problems in engineering, 2022•Wiley Online Library
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.
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.
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.
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