TY - JOUR
ID - 103858
TI - Green's relations on ordered n-ary semihypergroups
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Daengsaen, Jukkrit
AU - Leeratanavalee, Sorasak
AD - Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand.
Y1 - 2023
PY - 2023
VL - 19
IS - 1
SP - 143
EP - 167
KW - ordered n-ary semihypergroup
KW - hyperfilter
KW - Green’s relations
KW - intra-regular element
DO - 10.48308/cgasa.19.1.143
N2 - 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.
UR - https://cgasa.sbu.ac.ir/article_103858.html
L1 - https://cgasa.sbu.ac.ir/article_103858_f6acfd659d49b01664cafc06a330d3a9.pdf
ER -