$\phi$-$\delta$-Primary Hyperideals in Krasner Hyperrings
General Mathematics
2021-12-09 v2
Abstract
In this paper, we study commutative Krasner hyperring with nonzero identity. -prime, -primary and --primary hyperideals are introduced. We intend to extend the concept of -primary hyperideals to --primary hyperideals. We give some characterizations of hyperideals to classify them. We denote the set of all hyperideals of by (all proper hyperideals of by Let be a reduction function such that and be an expansion function such that be a proper hyperideal of is called --primary hyperideal of if then or for some We\ discuss the relation between --primary hyperideal and other hyperideals.
Cite
@article{arxiv.2111.02501,
title = {$\phi$-$\delta$-Primary Hyperideals in Krasner Hyperrings},
author = {Elif Kaya and Melis Bolat and Serkan Onar and Bayram Ali Ersoy and Kostaq Hila},
journal= {arXiv preprint arXiv:2111.02501},
year = {2021}
}