$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
General Mathematics
2022-02-03 v2
Abstract
In this study, we examine some properties of -hyperideals in the commutative Krasner hyperrings. Some properties of -hyperideals are also studied. The relation between prime hyperideals and -hyperideals is investigated. We show that the image and the inverse image of an -hyperideal is also an -hyperideal. We also introduce a generalization of r-hyperideals and we prove some properties of them.
Keywords
Cite
@article{arxiv.2110.10264,
title = {$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings},
author = {Peng Xu and Melis Bolat and Elif Kaya and Serkan Onar and Bayram Ali Ersoy and Kostaq Hila},
journal= {arXiv preprint arXiv:2110.10264},
year = {2022}
}