On d-prime hyperideals of hyperrings
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...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2024-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3544_759977004f5cf7a41a63e97cc3b2419e.pdf |
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| _version_ | 1849427864470945792 |
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| author | Maryam Akhoundi Saber Omidi |
| author_facet | Maryam Akhoundi Saber Omidi |
| author_sort | Maryam Akhoundi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-40655ff859ef4126968908eb3ac6af94 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-40655ff859ef4126968908eb3ac6af942025-08-20T03:28:54ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662024-12-0113218218710.22098/jhs.2024.15582.10343544On d-prime hyperideals of hyperringsMaryam Akhoundi0Saber Omidi1Clinical Research Development Unit of Rouhani Hospital, Babol University of Medical Sciences, Babol, IranMinistry of Education Iran, Department of Education in Tehran, Tehran, IranFor 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.https://jhs.uma.ac.ir/article_3544_759977004f5cf7a41a63e97cc3b2419e.pdfhyperringhyperidealhomo-derivation |
| spellingShingle | Maryam Akhoundi Saber Omidi On d-prime hyperideals of hyperrings Journal of Hyperstructures hyperring hyperideal homo-derivation |
| title | On d-prime hyperideals of hyperrings |
| title_full | On d-prime hyperideals of hyperrings |
| title_fullStr | On d-prime hyperideals of hyperrings |
| title_full_unstemmed | On d-prime hyperideals of hyperrings |
| title_short | On d-prime hyperideals of hyperrings |
| title_sort | on d prime hyperideals of hyperrings |
| topic | hyperring hyperideal homo-derivation |
| url | https://jhs.uma.ac.ir/article_3544_759977004f5cf7a41a63e97cc3b2419e.pdf |
| work_keys_str_mv | AT maryamakhoundi ondprimehyperidealsofhyperrings AT saberomidi ondprimehyperidealsofhyperrings |