Araştırma Makalesi

On Prime Hyperideals of a Krasner Hyperring

Cilt: 15 Sayı: 3 30 Aralık 2022
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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 Kelimeler

Kaynakça

  1. Ameri, R. (2003) “On Categories of hypergroups and hypermodules”, Journal of Discrete Mathematical Sciences, 6:2-3, 121-132.
  2. Bordbar, H. and Cristea, I. (2017) “Height of Prime Hyperideals in Krasner Hyperrings”, Filomat, 31:19,6153-6163.
  3. Corsini, P. (1993) “Prolegomena of Hypergroup Theory”, 2nd ed. Tricesimo Italy, Aviani editore Italy.
  4. Davvaz, B. and Fotea, V.L. (2007) “Hyperring Theory and Applications”, Palm Harbor, FL, USA, International Academic Press.
  5. Davvaz, B. and Salasi, A. (2006) “A realization of hyperrings”, Comm. Algebra, 34, 4389-4400.
  6. Krasner, M. (1999) “A class of hyperring and hyperfields”, IJMMS, 6:2,307-311.
  7. Larsen, M.D. and 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.
  8. Mahjoob, R. and Ghaffari, V. (2018), “Zariski topology for second subhypermodules”, Italian Journal of Pure and Applied Mathematics, 39, 554-568.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

29 Eylül 2021

Kabul Tarihi

25 Ekim 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 15 Sayı: 3

Kaynak Göster

APA
Nişancı Türkmen, B. (2022). On Prime Hyperideals of a Krasner Hyperring. Erzincan University Journal of Science and Technology, 15(3), 749-756. https://doi.org/10.18185/erzifbed.1001879
AMA
1.Nişancı Türkmen B. On Prime Hyperideals of a Krasner Hyperring. Erzincan University Journal of Science and Technology. 2022;15(3):749-756. doi:10.18185/erzifbed.1001879
Chicago
Nişancı Türkmen, Burcu. 2022. “On Prime Hyperideals of a Krasner Hyperring”. Erzincan University Journal of Science and Technology 15 (3): 749-56. https://doi.org/10.18185/erzifbed.1001879.
EndNote
Nişancı Türkmen B (01 Aralık 2022) On Prime Hyperideals of a Krasner Hyperring. Erzincan University Journal of Science and Technology 15 3 749–756.
IEEE
[1]B. Nişancı Türkmen, “On Prime Hyperideals of a Krasner Hyperring”, Erzincan University Journal of Science and Technology, c. 15, sy 3, ss. 749–756, Ara. 2022, doi: 10.18185/erzifbed.1001879.
ISNAD
Nişancı Türkmen, Burcu. “On Prime Hyperideals of a Krasner Hyperring”. Erzincan University Journal of Science and Technology 15/3 (01 Aralık 2022): 749-756. https://doi.org/10.18185/erzifbed.1001879.
JAMA
1.Nişancı Türkmen B. On Prime Hyperideals of a Krasner Hyperring. Erzincan University Journal of Science and Technology. 2022;15:749–756.
MLA
Nişancı Türkmen, Burcu. “On Prime Hyperideals of a Krasner Hyperring”. Erzincan University Journal of Science and Technology, c. 15, sy 3, Aralık 2022, ss. 749-56, doi:10.18185/erzifbed.1001879.
Vancouver
1.Burcu Nişancı Türkmen. On Prime Hyperideals of a Krasner Hyperring. Erzincan University Journal of Science and Technology. 01 Aralık 2022;15(3):749-56. doi:10.18185/erzifbed.1001879