Green's relations on ordered n-ary semihypergroups | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 8، دوره 19، شماره 1، آبان 2023، صفحه 143-167 اصل مقاله (558.27 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.48308/cgasa.19.1.143 | ||
| نویسندگان | ||
| Jukkrit Daengsaen؛ Sorasak Leeratanavalee* | ||
| Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand. | ||
| چکیده | ||
| In this paper, we introduce the concept of weak $i$-hyperfilters of ordered $n$-ary semihypergroups, where a positive integer 1 ≤ i ≤ n and n ≥ 2, and then discuss their related properties. We define the Green’s relations $M_i, J , H$ and $K$ on ordered $n$-ary semihypergroups and investigate the relationships between the Green’s relations and the equivalence relation $W_i$, which is generated by the weak $i$-hyperfilters. Also, we give the characterizations of intra-regular ordered $n$-ary semihypergroups via the properties of weak $i$-hyperfilters. Finally, we introduce the concepts of $(i-, Λ-)$duo ordered $n$-ary semihypergroups and establish some interesting properties. | ||
| کلیدواژهها | ||
| Ordered n-ary semihypergroup؛ hyperfilter؛ Green’s relations؛ intra-regular element | ||
| مراجع | ||
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