AUTHOR=Rao Yongsheng , Xu Peng , Shao Zehui , Kosari Saeed , Omidi Saber 

TITLE=Some Properties of Relative Bi-(Int-)Γ-Hyperideals in Ordered Γ-Semihypergroups

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.555573

DOI=10.3389/fphy.2020.555573

ISSN=2296-424X

ABSTRACT=In this paper, we study the concept of relative bi-Γ-hyperideals (J -bi-
Γ-hyperideals) in ordered Γ-semihypergroups and present some related examples of this concept. Especially, characterization of J -simple ordered Γ-
semihypergroups in terms of J -bi-Γ-hyperideals is given. Furthermore, we
define the notion of J -(bi-)int-Γ-hyperideals in ordered Γ-semihypergroups
and investigate its related properties. We show that J -int-Γ-hyperideals
and J -Γ-hyperideals coincide in a J -regular ordered Γ-semihypergroup.