Semihypergroups
A SHORT NOTE ON THE RELATION N IN ORDERED SEMIHYPERGROUPS
Let be an ordered semihypergroup and . We denote by the hyperfilter of generated by . Define an equivalence relation on . In this note, we show that is the intersection of the relations or , where runs over the completely prime hyperideals of . Moreover, we give some results on ordered semihypergroups.
Keywords:
Ordered semihypergroup, completely prime hyperideal, hyperfilter, semilattice equivalence relation ≔ {( , ) ∈ × | , ∈ or ∉ }, where runs over the completely prime,
___
- T. Changphas and B. Davvaz, Bi-hyperideals and quasi-hyperideals in ordered semihypergroups, Ital. J. Pure Appl. Math. 35 (2015), 493-508.
- T. Changphas and B. Davvaz, Properties of hyperideals in ordered semihypergroups, Ital. J. Pure Appl. Math. 33 (2014), 425-432.
- P. Corsini, Prolegomena of Hypergroup Theory, Second edition, Aviani Editore, Italy, 1993.
- B. Davvaz, Some results on congruences in semihypergroups, Bull. Malays. Math. Sci. So. (2), 23 (2000), 53-58.
- B. Davvaz and S. Omidi, Basic notions and properties of ordered semihyperrings, Categ. General Alg. Structures Appl. 4(1) (2016), 43-62.
- B. Davvaz, P. Corsini and T. Changphas, Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder, European J. Combinatorics, 44 (2015), 208-217.
- Z. Gu and X. Tang, Ordered regular equivalence relations on ordered semihypergroups, J. Algebra, 450 (2016), 384-397.
- D. Heidari and B. Davvaz, On ordered hyperstructures, U.P.B. Sci. Bull. Series A. 73(2) (2011), 85-96.
- N. Kehayopulu, Green’s relations and the relation in Γ-semigroups, Quasigroups Relat. Syst. 22 (2014), 89-96.
- F. Marty, Sur une generalization de la notion de groupe, Stockholm, 1934, 45-49. Math. Scandinaves,
- M. Siripitukdet and A. Iampan, On the least (ordered) semilattice congruence in ordered Γ-semigroups, Thai J. Math. 4 (2006), 403-415.
- J. Tang, B. Davvaz and Y. F. Luo, Hyperfilters and fuzzy hyperfilters of ordered semihypergroups, J. Intell. Fuzzy Systems, 29(1) (2015), 75-84.
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1988
- Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü
Sayıdaki Diğer Makaleler
Feyza Oke-Altuntaş, Belma Aslım, Hayri Duman
Common Fixed Point Theorem for Contractive Mappings in Complex Valued b-Metric Spaces
Ebrahim ANALOUEİ ADEGANİ, Ahmad ZİREH, Mahmood BİDKHAM
The Smallest Dimension Submanifolds of Para
Aysel TURGUT VANLI, Ramazan SARI
Ayşe Tekel, Kemal Yıldırım, Leila AKbarishahabi, Bassirou Bande
Zafer KÜÇÜK, Tülay KESEMEN, Tahir KHANİYEV, Fuat YETİM, Aslı BEKTAŞ KAMIŞLIK