Research Article

On Some Hyperideals in Ordered Semihypergroups

Number: 29 December 30, 2019
EN

On Some Hyperideals in Ordered Semihypergroups

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Shahnawaz Ali This is me
India

Bhavanari Satyanarayana This is me
India

Publication Date

December 30, 2019

Submission Date

March 26, 2019

Acceptance Date

September 3, 2019

Published in Issue

Year 2019 Number: 29

APA
Basar, A., Ali, S., Abbasi, M. Y., Satyanarayana, B., & Sharma, P. K. (2019). On Some Hyperideals in Ordered Semihypergroups. Journal of New Theory, 29, 42-48. https://izlik.org/JA25NR56RP
AMA
1.Basar A, Ali S, Abbasi MY, Satyanarayana B, Sharma PK. On Some Hyperideals in Ordered Semihypergroups. JNT. 2019;(29):42-48. https://izlik.org/JA25NR56RP
Chicago
Basar, Abul, Shahnawaz Ali, Mohammad Yahya Abbasi, Bhavanari Satyanarayana, and Poonam Kumar Sharma. 2019. “On Some Hyperideals in Ordered Semihypergroups”. Journal of New Theory, nos. 29: 42-48. https://izlik.org/JA25NR56RP.
EndNote
Basar A, Ali S, Abbasi MY, Satyanarayana B, Sharma PK (December 1, 2019) On Some Hyperideals in Ordered Semihypergroups. Journal of New Theory 29 42–48.
IEEE
[1]A. Basar, S. Ali, M. Y. Abbasi, B. Satyanarayana, and P. K. Sharma, “On Some Hyperideals in Ordered Semihypergroups”, JNT, no. 29, pp. 42–48, Dec. 2019, [Online]. Available: https://izlik.org/JA25NR56RP
ISNAD
Basar, Abul - Ali, Shahnawaz - Abbasi, Mohammad Yahya - Satyanarayana, Bhavanari - Sharma, Poonam Kumar. “On Some Hyperideals in Ordered Semihypergroups”. Journal of New Theory. 29 (December 1, 2019): 42-48. https://izlik.org/JA25NR56RP.
JAMA
1.Basar A, Ali S, Abbasi MY, Satyanarayana B, Sharma PK. On Some Hyperideals in Ordered Semihypergroups. JNT. 2019;:42–48.
MLA
Basar, Abul, et al. “On Some Hyperideals in Ordered Semihypergroups”. Journal of New Theory, no. 29, Dec. 2019, pp. 42-48, https://izlik.org/JA25NR56RP.
Vancouver
1.Abul Basar, Shahnawaz Ali, Mohammad Yahya Abbasi, Bhavanari Satyanarayana, Poonam Kumar Sharma. On Some Hyperideals in Ordered Semihypergroups. JNT [Internet]. 2019 Dec. 1;(29):42-8. Available from: https://izlik.org/JA25NR56RP

 

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