Erratum to “Study on quasi-Γ-hyperideals in Γ-semihypergroups”

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

We wrote this note to show that the definition of Γ-hypersemigroups in [2] should be corrected, and that it is not enough to replace the hyperoperation ◦ of the hypersemigroup by Γ to pass from a hypersemigroup to a Γ-hypersemigroup. Care should be taken about the definitions of m, n -quasi-Γ-hyperideal, the m-left Γ-hyperideal and the n-right Γ-hyperideal as well.

Keywords:

Γ-semihypergroup, m n -quasi-Γ-hyperideal,

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[1] Hila K, Davvaz B, Naka K. On quasi-hyperideals in semihypergroups. Communications in Algebra 2011; 39: 4183- 4194.
[2] Hila K, Abdullah S, Naka K. Study on quasi-Γ-hyperideals in Γ-semihypergroups. Asian-European Journal of Mathematics 2019; 12: 14 pages.
[3] Kehayopulu N. Generalized ideal elements in poe-semigroups. Semigroup Forum 1982; 25: 213-222.
[4] Lajos S. Generalize ideals in semigroups. Acta Scientiarum Mathematicarum 1961; 22: 217-222.