Research Article
Year 2019,
Issue: 29, 42 - 48, 30.12.2019
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
regular ordered semihypergroup ordered bi-hyperideal Ordered semihypergroup ordered (m n)-hyperideal
References
- F. Marty, Sur Une Generalization De La Notion De Groupe, 8th Congress of Mathematics Scandenaves, Stockholm, (1934) 45-49.
- B. Davvaz, Some Results on Congruences in Semihypergroups, Bulletin of the Malaysian Mathematical Sciences Society 23(2) (2000) 53-58.
- M. De Salvo, D. Freni, G. Lo Faro, Fully Simple Semihypergroups, Journal of Algebra 399 (2014) 58-377.
- D. Fasino, D. Freni, Existence of Proper Semihypergroups of Type on the Right, Discrete Mathematics 307(22) (2007) 2826-2836.
- C. Gutan, Simplifiable Semihypergroups, In: Algebraic Hyperstructures and Applications (Xanthi), World Scientific, 1990.
- P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, Advances in Mathematics, Kluwer Academic Publishers, Dordrecht, 2003.
- D. Heidari, B. Davvaz, On Ordered Hyperstructures, University Politehnica of Bucharest Scientific Bulletin, Series A: Applied Mathematics and Physics 73(2) (2011) 85-96.
- B. Davvaz, Polygroup Theory and Related Systems, World Scientific Publishing Co. Pvt. Ltd., Hackensack, N. J., 2013.
- B. Davvaz, N. S. Poursalavati, Semihypergroups and S-hypersystems, Pure Mathematics and Applications 11 (2000) 43-49.
- K. Hila, B. Davvaz, K. Naka, On Quasi-Hyperideals in Semihypergroups, Communications in Algebra 39 (2011) 4183-4194.
- P. Corsini, Sur Les Semi-Hypergroupes, Atti Soc. Pelorit. Sci. Fis. Math. Nat. 26(4) (1980) 363-372.
- P. Corsini, Prolegomena of Hypergroup Theory, second ed., Aviani Editore, Tricesimo, 1993.
- T. Changphas, B. Davvaz, Properties of Hyperideals in Ordered Semihypergroups, Italian Journal of Pure and Applied Mathematics 33 (2014) 425-432.
- 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.
- A. Basar, Application of (m, n)-Γ-Hyperideals in Characterization of LA-Γ-Semihypergroups, Discussion Mathematicae-General Algebra and Applications 39 (2019) 1-13.
- A. Basar, A Note on (m, n)-Γ-Ideals of Ordered LA-Γ-Semigroups, Konuralp Journal of Mathematics 7(1) (2019) 107-111.
Year 2019,
Issue: 29, 42 - 48, 30.12.2019
Abstract
References
- F. Marty, Sur Une Generalization De La Notion De Groupe, 8th Congress of Mathematics Scandenaves, Stockholm, (1934) 45-49.
- B. Davvaz, Some Results on Congruences in Semihypergroups, Bulletin of the Malaysian Mathematical Sciences Society 23(2) (2000) 53-58.
- M. De Salvo, D. Freni, G. Lo Faro, Fully Simple Semihypergroups, Journal of Algebra 399 (2014) 58-377.
- D. Fasino, D. Freni, Existence of Proper Semihypergroups of Type on the Right, Discrete Mathematics 307(22) (2007) 2826-2836.
- C. Gutan, Simplifiable Semihypergroups, In: Algebraic Hyperstructures and Applications (Xanthi), World Scientific, 1990.
- P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, Advances in Mathematics, Kluwer Academic Publishers, Dordrecht, 2003.
- D. Heidari, B. Davvaz, On Ordered Hyperstructures, University Politehnica of Bucharest Scientific Bulletin, Series A: Applied Mathematics and Physics 73(2) (2011) 85-96.
- B. Davvaz, Polygroup Theory and Related Systems, World Scientific Publishing Co. Pvt. Ltd., Hackensack, N. J., 2013.
- B. Davvaz, N. S. Poursalavati, Semihypergroups and S-hypersystems, Pure Mathematics and Applications 11 (2000) 43-49.
- K. Hila, B. Davvaz, K. Naka, On Quasi-Hyperideals in Semihypergroups, Communications in Algebra 39 (2011) 4183-4194.
- P. Corsini, Sur Les Semi-Hypergroupes, Atti Soc. Pelorit. Sci. Fis. Math. Nat. 26(4) (1980) 363-372.
- P. Corsini, Prolegomena of Hypergroup Theory, second ed., Aviani Editore, Tricesimo, 1993.
- T. Changphas, B. Davvaz, Properties of Hyperideals in Ordered Semihypergroups, Italian Journal of Pure and Applied Mathematics 33 (2014) 425-432.
- 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.
- A. Basar, Application of (m, n)-Γ-Hyperideals in Characterization of LA-Γ-Semihypergroups, Discussion Mathematicae-General Algebra and Applications 39 (2019) 1-13.
- A. Basar, A Note on (m, n)-Γ-Ideals of Ordered LA-Γ-Semigroups, Konuralp Journal of Mathematics 7(1) (2019) 107-111.
There are 16 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Publication Date | December 30, 2019 |
| Submission Date | March 26, 2019 |
| Published in Issue | Year 2019 Issue: 29 |
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