Prime Ideals in Matrices over Γ-Semihyperrings

Authors

  • Andi Muhammad Anwar Universitas Hasanuddin
  • Andi Muhammad Amil Siddik Universitas Hasanuddin
  • Ainun Mawaddah Abdal Universitas Hasanuddin

DOI:

https://doi.org/10.20956/jmsk.v17i1.11066

Keywords:

Γ-Semihyperring, matrices over Γ-semihyperrings, prime ideal

Abstract

The semihyperring structure is a common form of the hyperring structure with weakening properties. The more general structure is Γ-semihyperring, whose concept is generalized from Γ-semiring. This paper will show that the top matrix Γ-semihyperring is also Γ-semihyperring. The linkage between prime ideal of Γ-semihyperring with prime ideal of a matrix on Γ-semihyperring will also be discussed in this paper.

Downloads

Download data is not yet available.

References

D. Heidari, S.O. Dehkordi and B. Davvaz, Γ-semihypergroups and their properties, Politehn. Univ. Bucharest Sci. Bull. Ser. A: Appl. Math. Phys., 72(2010), 195-208.

H. Hedayati and B. Davvaz, Fundamental relation on Γ-hyperrings, Ars Combin., 100(2011), 381-394.

M. M. K. Rao, Γ-semirings. I, Southeast Asian Bull, Math., 19(1)(1995), 49-54.

N.Nobusawa, On generalization of the ring theory, Osaka J. Math., 1(1)(1964), 81-89

P.Corsini, V.Leoreanu, Applications of hyperstructure theory, Kluwr Academic Publishers, Dordrecht, 2003.

Pawar, Kishor & Patil, Jitendrasing & Davvaz, Bijan. (2019). On regular Γ-semihyperring and idempotent Γ-semihyperring. Kyungpook Mathematical Journal. 59. 35-45.

S. M. Anvariyeh, S. Mirvakilli and B. Davvaz, On Γ- hyperideals in Γ-semihypergroups, Carpathian J. Math., 26(2010), 11-23.

S. Ostadhadi-Dehkordi and B. Davvaz, Ideal theory in Γ-semihyperrings, Iran. J. Sci. Tech. Trans. A Sci., 37(3) (2013), 251-263.

Downloads

Published

2020-08-24

How to Cite

Anwar, A. M., Amil Siddik, A. M., & Mawaddah Abdal, A. (2020). Prime Ideals in Matrices over Γ-Semihyperrings. Jurnal Matematika, Statistika Dan Komputasi, 17(1), 129-134. https://doi.org/10.20956/jmsk.v17i1.11066

Issue

Vol. 17 No. 1 (2020): JMSK, SEPTEMBER, 2020

Section

Research Articles

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Jurnal Matematika, Statistika dan Komputasi is an Open Access journal, all articles are distributed under the terms of the Creative Commons Attribution License, allowing third parties to copy and redistribute the material in any medium or format, transform, and build upon the material, provided the original work is properly cited and states its license.  This license allows authors and readers to use all articles, data sets, graphics and appendices in data mining applications, search engines, web sites, blogs and other platforms by providing appropriate reference.