Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings
Keywords
- hyperideal
- Multiplicative hyperring
- prime hyperideal
Abstract
In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved. We prove under certain conditions that the intersection of two ϕ-2-absorbing primary hyperideals is also a ϕ-2-absorbing primary hyperideal. Examples of ϕ-2-absorbing primary hyperideals are also studied
Article history
- Received
- 2023-02-25
- Accepted
- 2023-06-22
Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings
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Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings
الكلمات الإفتتاحية
- hyperideal
- Multiplicative hyperring
- prime hyperideal
الملخص
In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved. We prove under certain conditions that the intersection of two ϕ-2-absorbing primary hyperideals is also a ϕ-2-absorbing primary hyperideal. Examples of ϕ-2-absorbing primary hyperideals are also studied
Article history
- تاريخ التسليم
- 2023-02-25
- تاريخ القبول
- 2023-06-22