Journals / Journal of New Theory / 2019 / Sayı: 29

On Some Hyperideals in Ordered Semihypergroups

Pages
42–48
Publication Date
2019-12-30
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, we obtain some ideal theoretic results in ordered semihypergroups.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study ordered hyperideals in ordered semihypergroups.
📊
Key Findings & Data:Also, we study (m, n)-regular ordered semihypergroups in terms of ordered (m, n)-hyperideals.
💡
Conclusion & Impact:Furthermore, we obtain some ideal theoretic results in ordered semihypergroups.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:regular ordered semihypergroup · ordered bi-hyperideal · Ordered semihypergroup

Abstract

In this paper, we study ordered hyperideals in ordered semihypergroups. Also, we study (m, n)-regular ordered semihypergroups in terms of ordered (m, n)-hyperideals. Furthermore, we obtain some ideal theoretic results in ordered semihypergroups.

🔖

Cite This Article

BASAR, A., ALİ, S., ABBASİ, M. Y., SATYANARAYANA, B., SHARMA, P. K. (2019). On Some Hyperideals in Ordered Semihypergroups. Journal of New Theory, Sayı: 29, 42–48. https://ajindex.com/articles/681518

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. F. Marty, Sur Une Generalization De La Notion De Groupe, 8th Congress of Mathematics Scandenaves, Stockholm, (1934) 45-49.
  2. B. Davvaz, Some Results on Congruences in Semihypergroups, Bulletin of the Malaysian Mathematical Sciences Society 23(2) (2000) 53-58.
  3. M. De Salvo, D. Freni, G. Lo Faro, Fully Simple Semihypergroups, Journal of Algebra 399 (2014) 58-377.
  4. D. Fasino, D. Freni, Existence of Proper Semihypergroups of Type on the Right, Discrete Mathematics 307(22) (2007) 2826-2836.
  5. C. Gutan, Simplifiable Semihypergroups, In: Algebraic Hyperstructures and Applications (Xanthi), World Scientific, 1990.
  6. P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, Advances in Mathematics, Kluwer Academic Publishers, Dordrecht, 2003.
  7. D. Heidari, B. Davvaz, On Ordered Hyperstructures, University Politehnica of Bucharest Scientific Bulletin, Series A: Applied Mathematics and Physics 73(2) (2011) 85-96.
  8. B. Davvaz, Polygroup Theory and Related Systems, World Scientific Publishing Co. Pvt. Ltd., Hackensack, N. J., 2013.
  9. B. Davvaz, N. S. Poursalavati, Semihypergroups and S-hypersystems, Pure Mathematics and Applications 11 (2000) 43-49.
  10. K. Hila, B. Davvaz, K. Naka, On Quasi-Hyperideals in Semihypergroups, Communications in Algebra 39 (2011) 4183-4194.
  11. P. Corsini, Sur Les Semi-Hypergroupes, Atti Soc. Pelorit. Sci. Fis. Math. Nat. 26(4) (1980) 363-372.
  12. P. Corsini, Prolegomena of Hypergroup Theory, second ed., Aviani Editore, Tricesimo, 1993.
  13. T. Changphas, B. Davvaz, Properties of Hyperideals in Ordered Semihypergroups, Italian Journal of Pure and Applied Mathematics 33 (2014) 425-432.
  14. A. Basar, M. Y. Abbasi, S. A. Khan, An Introduction of Theory of Involutions and Their Weakly Prime Hyperideals, Journal of the Indian Mathematical Society 86(3-4) (2019) 1-11.
  15. A. Basar, Application of (m, n)-Γ-Hyperideals in Characterization of LA-Γ-Semihypergroups, Discussion Mathematicae-General Algebra and Applications 39 (2019) 1-13.
  16. A. Basar, A Note on (m, n)-Γ-Ideals of Ordered LA-Γ-Semigroups, Konuralp Journal of Mathematics 7(1) (2019) 107-111.