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On d-prime hyperideals of hyperrings | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 2، 2024، صفحه 182-187 اصل مقاله (1.38 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.15582.1034 | ||
| نویسندگان | ||
| Maryam Akhoundi* 1؛ Saber Omidi2 | ||
| 1Clinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol, Iran | ||
| 2Ministry of Education Iran, Department of Education in Tehran, Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| hyperring؛ hyperideal؛ homo-derivation | ||
| مراجع | ||
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