On primary hyperideals of ternary hypersemiring
In this article, we introduce the notions of radical of hyperideals and primary hyperideals of a ternary hypersemiring.We obtain some important properties of radical of hyperideals and primary hyperideals on a particular class of hyperideals, called Cternary hyperideals in ternary hypersemirings. We...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2021-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2638_e239595d9abedf310f22a5781f623b45.pdf |
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| author | Nita Tamang Manasi Mandal Sampad Das |
| author_facet | Nita Tamang Manasi Mandal Sampad Das |
| author_sort | Nita Tamang |
| collection | DOAJ |
| description | In this article, we introduce the notions of radical of hyperideals and primary hyperideals of a ternary hypersemiring.We obtain some important properties of radical of hyperideals and primary hyperideals on a particular class of hyperideals, called Cternary hyperideals in ternary hypersemirings. We also generalize the concept of prime and primary avoidance theorem in ternary hypersemirings for C-ternary hyperideals. |
| format | Article |
| id | doaj-art-82b53a23578f4e85b77a6e3bfbd16eec |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-82b53a23578f4e85b77a6e3bfbd16eec2025-08-20T03:28:49ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662021-06-01101223710.22098/jhs.2021.26382638On primary hyperideals of ternary hypersemiringNita Tamang0Manasi Mandal1Sampad Das2Department of Mathematics, University of North Bengal, Rajarammohunpur, Dist.Darjeeling 734013, IndiaDepartment of Mathematics,Jadavpur University, Kolkata 700032, India.Department of Mathematics,Jadavpur University, Kolkata 700032, India.In this article, we introduce the notions of radical of hyperideals and primary hyperideals of a ternary hypersemiring.We obtain some important properties of radical of hyperideals and primary hyperideals on a particular class of hyperideals, called Cternary hyperideals in ternary hypersemirings. We also generalize the concept of prime and primary avoidance theorem in ternary hypersemirings for C-ternary hyperideals.https://jhs.uma.ac.ir/article_2638_e239595d9abedf310f22a5781f623b45.pdfternary hypersemiringprimary hyperidealsprime hyperidealsc-ternary hyperideals |
| spellingShingle | Nita Tamang Manasi Mandal Sampad Das On primary hyperideals of ternary hypersemiring Journal of Hyperstructures ternary hypersemiring primary hyperideals prime hyperideals c-ternary hyperideals |
| title | On primary hyperideals of ternary hypersemiring |
| title_full | On primary hyperideals of ternary hypersemiring |
| title_fullStr | On primary hyperideals of ternary hypersemiring |
| title_full_unstemmed | On primary hyperideals of ternary hypersemiring |
| title_short | On primary hyperideals of ternary hypersemiring |
| title_sort | on primary hyperideals of ternary hypersemiring |
| topic | ternary hypersemiring primary hyperideals prime hyperideals c-ternary hyperideals |
| url | https://jhs.uma.ac.ir/article_2638_e239595d9abedf310f22a5781f623b45.pdf |
| work_keys_str_mv | AT nitatamang onprimaryhyperidealsofternaryhypersemiring AT manasimandal onprimaryhyperidealsofternaryhypersemiring AT sampaddas onprimaryhyperidealsofternaryhypersemiring |