Some properties of weak Γ-hyperfilters in ordered Γ-semihypergroups
The main purpose of this paper is to study fundamental properties of weak Γ-hyperfilters on ordered Γ-semihypergroups that is a generalization of Γ-hyperfilters. Also, we investigate the relationship between weak Γ-hyperfilters and prime Γ-hyperideals in ordered Γ-semihypergroups. Finally, we introduce weak m,n-Γ-hyperfilters of ordered Γ-semihypergroups and conclude in paper with arising explicit theorems.
More Funding Information
This work was supported by the National Key R&D Program of China (no. 2018YFB1005100), the National Natural Science Foundation of China (no. 62172116), and the Guangzhou Academician and Expert Workstation (no. 20200115-9).