• Corpus ID: 238857317

J-prime hyperideals and their generalizations

@inproceedings{Anbarloei2021JprimeHA,
  title={J-prime hyperideals and their generalizations},
  author={Mahdi Anbarloei},
  year={2021}
}
Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some properties of them. Then, we extend the notion of J-prime to quasi J-prime and 2-absorbing J-prime hyperideals. Various characterizations of them are provided. 
View PDF on arXiv

References

SHOWING 1-10 OF 37 REFERENCES
On S-prime hyperideals in multiplicative hyperrings
Let R be a multiplicative hyperring and S be a subset of R be a multiplicatively closed subset of R. In this paper, we introduce and study the concept of S-prime hyperideals which is a generalization…
On 2-absorbing and 2-absorbing primary hyperideals of a multiplicative hyperring
Let R be a multiplicative hyperring. In this paper, we study 2-absorbing hyperideals which are a generalization of prime hyperideals and introduce the concept of 2-absorbing primary hyperideal which…
Regular Multiplicative Hyperrings
We introduce and study regular multiplicative hyperrings, as a generalization of classical rings. Also, we use the fundamental relation ? on a given regular multiplicative hyperring R and prove that…
A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS
In this paper, ‎we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by…
A note on two classes of hyperideals
Abstract. Let R be a commutative multiplicative hyperring with 1. In this paper, we define the concepts of r-hyperideal and n-hyperideal of the hyperring R which are two new classes of hyperideals.…
On Prime and Primary Hyperideals of a Multiplicative Hyperring
On Prime and Primary Hyperideals of a Multiplicative Hyperring Procesi and Rota introduced and studied in brief the prime hyperideals of multiplicative hyperrings. Here we intend to investigate…
Contribution to study special kinds of hyperideals in ordered semihyperrings
On 1-absorbing primary ideals of commutative rings
Let R be a commutative ring with nonzero identity. In this paper, we introduce the concept of 1-absorbing primary ideals in commutative rings. A proper ideal I of R is called a 1-absorbing primary ...
ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS
Let R be a commutative ring with 1 � . In this paper, we introduce the concept of 2-absorbing primary ideal which is a general- ization of primary ideal. A proper ideal I of R is called a 2-absorbing…
Strongly distributive multiplicative hyperrings
The aim of this paper is to characterize the strongly distributive multiplicative hyperrings. A non trivial example is provided giving a model for such hyperrings; also a characterization theorem is…
...
...