2-duo ordered Γ-semihypergroup
Open AccessArticle
On Relative (2, 2)-Γ-hyperideals of 2-duo Ordered Γ-semihypergroups
Annals of Communications in Mathematics 2024
, 7 (1)
, 47-56
DOI: https://doi.org/10.62072/acm.2024.070105
AbstractIn this paper, first we obtain the necessary and sufficient condition for an ordered Γ-semihypergroup H to be a relative completely regular 2-duo ordered Γ-semihypergroup for any relative (2, 2)-Γ-hyperideal as well as for any relative (2, 2)-quasi-Γ-hyperideal of H. Then, we find the necessary and sufficient condition that Q = (Q2]S for every relative (2, 2)-Γ-hyperideal Q of H to be a relative quasi-Γ-prime with S ⊆ H. Finally, we prove the necessary and sufficient condition for relative (2, 2)-Γ-hyperideal to be a relative quasi-Γ-prime for a relative completely regular and relative (2, 2)-Γ-hyperideal of H making a chain with inclusive relation.