Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring
The concept of a Γ-semihyperring is a generalization of a semiring, semihyperring, Γ-semiring. In this Paper we introducethe notion of bi-interior Γ-hyperideals, quasi-interior Γ-hyperideals and bi-quasi-interior Γ-hyperideals in a Γ-semihyperring as a generalization of Γ-hyperideal, left-Γ-hyperide...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2023-07-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2509_5df12f6744b1fb8b3435836707e71c77.pdf |
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| author | Chaitanya B. Kumbharde Kishor F. Pawar Safoora J. Ansari |
| author_facet | Chaitanya B. Kumbharde Kishor F. Pawar Safoora J. Ansari |
| author_sort | Chaitanya B. Kumbharde |
| collection | DOAJ |
| description | The concept of a Γ-semihyperring is a generalization of a semiring, semihyperring, Γ-semiring. In this Paper we introducethe notion of bi-interior Γ-hyperideals, quasi-interior Γ-hyperideals and bi-quasi-interior Γ-hyperideals in a Γ-semihyperring as a generalization of Γ-hyperideal, left-Γ-hyperideal, right-Γ- hyperideals, bi Γ-hyperideal, quasi Γ-hyperideal, interior Γ-hyperideals of Γ-semihyperring. We studied the properties of these Γ-hyperideals and characterized them in simple Γ-semihyperring and regular Γ-semihyperring |
| format | Article |
| id | doaj-art-9f086239fd1f40bbb21a721defacf079 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2023-07-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-9f086239fd1f40bbb21a721defacf0792025-08-20T03:28:55ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-07-0112111710.22098/jhs.2023.25092509Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperringChaitanya B. Kumbharde0Kishor F. Pawar1Safoora J. Ansari2Department of Mathematics, SNJB's KKHA Arts, SMGL Commerce & SPHJ Science College, Chandwad, Dist. Nashik, 423 101, M.S. IndiaDepartment of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, 425 001 M.S., IndiaDepartment of Mathematics, SNJB's KKHA Arts, SMGL Commerce & SPHJ Science College, Chandwad, Dist. Nashik, 423 101, M.S. IndiaThe concept of a Γ-semihyperring is a generalization of a semiring, semihyperring, Γ-semiring. In this Paper we introducethe notion of bi-interior Γ-hyperideals, quasi-interior Γ-hyperideals and bi-quasi-interior Γ-hyperideals in a Γ-semihyperring as a generalization of Γ-hyperideal, left-Γ-hyperideal, right-Γ- hyperideals, bi Γ-hyperideal, quasi Γ-hyperideal, interior Γ-hyperideals of Γ-semihyperring. We studied the properties of these Γ-hyperideals and characterized them in simple Γ-semihyperring and regular Γ-semihyperringhttps://jhs.uma.ac.ir/article_2509_5df12f6744b1fb8b3435836707e71c77.pdfγ-semihyperringbi-interior γ- hyperidealsquasi-interior γ- hyperidealsbi-quasi-interior γ- hyperideals |
| spellingShingle | Chaitanya B. Kumbharde Kishor F. Pawar Safoora J. Ansari Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring Journal of Hyperstructures γ-semihyperring bi-interior γ- hyperideals quasi-interior γ- hyperideals bi-quasi-interior γ- hyperideals |
| title | Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring |
| title_full | Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring |
| title_fullStr | Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring |
| title_full_unstemmed | Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring |
| title_short | Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring |
| title_sort | bi interior quasi interior and bi quasi interior γ hyperideal in γ semihyperring |
| topic | γ-semihyperring bi-interior γ- hyperideals quasi-interior γ- hyperideals bi-quasi-interior γ- hyperideals |
| url | https://jhs.uma.ac.ir/article_2509_5df12f6744b1fb8b3435836707e71c77.pdf |
| work_keys_str_mv | AT chaitanyabkumbharde biinteriorquasiinteriorandbiquasiinteriorghyperidealingsemihyperring AT kishorfpawar biinteriorquasiinteriorandbiquasiinteriorghyperidealingsemihyperring AT safoorajansari biinteriorquasiinteriorandbiquasiinteriorghyperidealingsemihyperring |