On 2-absorbing and 2-absorbing primary hyperideals of a multiplicative hyperring

@article{Anbarloei2017On2A,
  title={On 2-absorbing and 2-absorbing primary hyperideals of a multiplicative hyperring},
  author={Mahdi Anbarloei},
  journal={Cogent Mathematics},
  year={2017},
  volume={4}
}
  • M. Anbarloei
  • Published 1 January 2017
  • Mathematics
  • Cogent Mathematics
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 is a generalization of primary hyperideal. 
On uniformly primary hyperideals and uniformly 2-absorbing primary hyperideals
Let R be a multiplicative hyperring. In this paper, we introduce the concepts of uniformly primary hyperideal and uniformly 2absorbing primary hyperideal of R, which impose a certain boundedness
J-prime hyperideals and their generalizations
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.
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
On 1-absorbing prime hyperideal and some of its generalizations
Let R be a multiplicative hyperring. In this paper, we define the concept of 1-absorbing prime hyperideals which is a generalization of the prime hyperideals. A proper hyperideal I of R is called a
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.
Unifing the prime and primary hyperideals under one frame in a Krasner (m, n)-hyperring
Abstract Prime hyperideals and primary hyperideals as two of the most important structures in a Krasner (m, n)-hyperring are defferent from each other in many aspects. In this paper, we aim to define
n-Ary k-absorbing hyperideals in krasner (m, n)-hyperrings
Let ( R ,  f ,  g ) be a commutative Krasner ( m ,  n )-hyperring with the scalar identity $$1_R$$ 1 R and k ( $$<n$$ < n ) be a positive integer. In this paper, the concept of n -ary k -absorbing
On expansions of prime and 2-absorbing hyperideals in multiplicative hyperrings
  • G. Ulucak
  • Mathematics
    TURKISH JOURNAL OF MATHEMATICS
  • 2019
In this paper, we study $ \delta $-primary and 2-absorbing $ \delta $-primary hyperideals which are the extended classes of prime and 2-absorbing hyperideals, respectively. Assume that $R$ is a

References

SHOWING 1-10 OF 10 REFERENCES
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
Applications Of Hyperstructure Theory
TLDR
The applications of hyperstructure theory is universally compatible with any devices to read, and is available in the book collection an online access to it is set as public so you can get it instantly.
On 2-absorbing hyperideals of multiplicative hyperrings
  • Second Seminar on Algebra and its Applications,
  • 2014
Prolegomena of hypergroup theory (Second ed.). Italy: Aviani editor
  • 1993
Hyperring theory and applications
  • Palm Harbor,
  • 2007
Hyperstructures and their representations
  • Palm Harbor,
  • 1994
Prolegomena of hypergroup theory
  • 1993
Sugli iperanelli moltiplicativi
  • Rendiconti di Matematica Series VII,
  • 1982
Sur une generalization de la notion de groupe