On Prime Hyperideals of a Krasner Hyperring
Yıl: 2022 Cilt: 15 Sayı: 3 Sayfa Aralığı: 749 - 756 Metin Dili: İngilizce DOI: 10.18185/erzifbed.1001879 İndeks Tarihi: 30-03-2023
On Prime Hyperideals of a Krasner Hyperring
Öz: The basis of this study, which was put forth in order to appropriate a special area in the hyperring theory, which has recently been studied as a generalization of the ring theory, which uses the module theory as an application field, is based on integrally closed Krasner hyperrings and (almost) integral dependence applications in krasner hyperrings.
Anahtar Kelime: Krasner Yüksek Halkaların Asal Yüksek İdealleri Üzerine
Öz: Modül teorisini uygulama alanı olarak kullanan, son zamanlarda halka teorisinin bir genellemesi olarak çalışılan yüksek halka teorisinde özel bir saha oluşturmak üzere ortaya konulan bu çalışmanın temelini, tam kapalı Krasner yüksek halkalar ve Krasner yüksek halkalarda (hemen hemen) tam bağımlılık uygulamaları oluşturmaktadır.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Ameri, R., (2003) On categories of hypergroups and hypermodules, Journal of Discrete Mathematical Sciences and Crytography, 6:2-3, 121-132.
- [2] Bordbar, H., Cristea, I., (2017) Height of prime hyperideals in Krasner hyperrings, Filomat, 31:19,6153-6163.
- [3] Bordbar, H., Cristea, I., Novak, M., (2017) Height of hyperideals in Noetherian Krasner hyperrings, U.P.B. Sci. Bull.Series A, 79,2, 31-42.
- [4] Bordbar, H., Cristea, I., (2021) Regular parameter elements and regular local hyperrings, Mathematics, 9, 243, 1-13.
- [5] Corsini, P., (1993). Prolegomena of Hypergroup Theory, 2nd ed. Tricesimo Italy, Aviani editore Italy.
- [6] Davvaz, B., Fotea, V.L., (2007). Hyperring Theory and Applications, Palm Harbor, FL, USA, International Academic Press.
- [7] Davvaz, B., Salasi, A., (2006) A realization of hyperrings, Comm. Algebra, 34, 4389-4400.
- [8] Krasner, M., (1983) A class of hyperring and hyperfields, IJMMS, 6:2,307-311.
- [9] Larsen, M.D., McCarthy, P.J. (1971). Multiplicative Theory of Ideals, Pure and Applied athematics, A Series of Monographs and Textbooks,Volume 43, Academic Press, New York and London.
- [10] Mahjoob, R., Ghaffari, V., (2018), Zariski topology for second subhypermodules, Italian Journal of Pure and Applied Mathematics, 39, 554-568.
- [11] Siraworakun, A., Pianskool, S. (2012), Characterizations of prime and weakly prime subhypermodules, International Mathematical Forum, Vol. 7, no. 58, 2853 – 2870.
| APA | NİŞANCITÜRKMEN B (2022). On Prime Hyperideals of a Krasner Hyperring. , 749 - 756. 10.18185/erzifbed.1001879 |
| Chicago | NİŞANCITÜRKMEN BURCU On Prime Hyperideals of a Krasner Hyperring. (2022): 749 - 756. 10.18185/erzifbed.1001879 |
| MLA | NİŞANCITÜRKMEN BURCU On Prime Hyperideals of a Krasner Hyperring. , 2022, ss.749 - 756. 10.18185/erzifbed.1001879 |
| AMA | NİŞANCITÜRKMEN B On Prime Hyperideals of a Krasner Hyperring. . 2022; 749 - 756. 10.18185/erzifbed.1001879 |
| Vancouver | NİŞANCITÜRKMEN B On Prime Hyperideals of a Krasner Hyperring. . 2022; 749 - 756. 10.18185/erzifbed.1001879 |
| IEEE | NİŞANCITÜRKMEN B "On Prime Hyperideals of a Krasner Hyperring." , ss.749 - 756, 2022. 10.18185/erzifbed.1001879 |
| ISNAD | NİŞANCITÜRKMEN, BURCU. "On Prime Hyperideals of a Krasner Hyperring". (2022), 749-756. https://doi.org/10.18185/erzifbed.1001879 |
| APA | NİŞANCITÜRKMEN B (2022). On Prime Hyperideals of a Krasner Hyperring. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 15(3), 749 - 756. 10.18185/erzifbed.1001879 |
| Chicago | NİŞANCITÜRKMEN BURCU On Prime Hyperideals of a Krasner Hyperring. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15, no.3 (2022): 749 - 756. 10.18185/erzifbed.1001879 |
| MLA | NİŞANCITÜRKMEN BURCU On Prime Hyperideals of a Krasner Hyperring. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.15, no.3, 2022, ss.749 - 756. 10.18185/erzifbed.1001879 |
| AMA | NİŞANCITÜRKMEN B On Prime Hyperideals of a Krasner Hyperring. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2022; 15(3): 749 - 756. 10.18185/erzifbed.1001879 |
| Vancouver | NİŞANCITÜRKMEN B On Prime Hyperideals of a Krasner Hyperring. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2022; 15(3): 749 - 756. 10.18185/erzifbed.1001879 |
| IEEE | NİŞANCITÜRKMEN B "On Prime Hyperideals of a Krasner Hyperring." Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 15, ss.749 - 756, 2022. 10.18185/erzifbed.1001879 |
| ISNAD | NİŞANCITÜRKMEN, BURCU. "On Prime Hyperideals of a Krasner Hyperring". Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15/3 (2022), 749-756. https://doi.org/10.18185/erzifbed.1001879 |
