On d-prime hyperideals of hyperrings

Document Type : Research Paper

Authors

1 Clinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol, Iran

2 Ministry of Education Iran, Department of Education in Tehran, Tehran, Iran

Abstract

For Krasner hyperrings, we study d-prime hyperideals where d is a homo-derivation. Furthermore, we show that every maximal d-hyperideal and d-prime hyperideal is a prime hyperideal of a commutative hyperring. Finally, we prove that if W is a d-prime hyperideal of a hyperring R and d(qn) ∈ W for some q∈R, then d2(q)∈ W.

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References

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Journal of Hyperstructures
Volume 13, Issue 2
December 2024
Pages 182-187

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