%0 Journal Article
%T Green's relations on ordered n-ary semihypergroups
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Daengsaen, Jukkrit
%A Leeratanavalee, Sorasak
%D 2023
%\ 08/01/2023
%V 19
%N 1
%P 143-167
%! Green's relations on ordered n-ary semihypergroups
%K ordered n-ary semihypergroup
%K hyperfilter
%K Green’s relations
%K intra-regular element
%R 10.48308/cgasa.19.1.143
%X In this paper, we introduce the concept of weak $i$-hyperfilters of ordered $n$-arysemihypergroups, where a positive integer 1 ≤ i ≤ n and n ≥ 2, and then discuss theirrelated properties. We define the Green’s relations $M_i, J , H$ and $K$ on ordered $n$-arysemihypergroups and investigate the relationships between the Green’s relations and theequivalence relation $W_i$, which is generated by the weak $i$-hyperfilters. Also, we givethe characterizations of intra-regular ordered $n$-ary semihypergroups via the propertiesof weak $i$-hyperfilters. Finally, we introduce the concepts of $(i-, Λ-)$duo ordered $n$-arysemihypergroups and establish some interesting properties.
%U https://cgasa.sbu.ac.ir/article_103858_f6acfd659d49b01664cafc06a330d3a9.pdf