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=8 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 article, 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.