Geodesic
$(m,n)$-Hyperfilters in Ordered Semihypergroups
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 2, p. 307

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First, we generalize concepts of left hyperfilters, right hyperfilters and hyperfilters of an ordered semihypergroup by introducing concepts of left-$m$-hyperfilters, right-$n$-hyperfilters and $(m,n)$-hyperfilters of an ordered semihypergroup. Then, some properties of these generalized hyperfilters have been studied. Finally, left-$m$-hyperfilters (resp. right-$n$-hyperfilters, $(m,n)$-hyperfilters) of $(m,0)$-regular (resp. $(0,n)$-regular, $(m,n)$-regular) ordered semihypergroups characterize in terms of their completely prime generalized $(m,0)$-hyperideals (resp. $(0,n)$-hyperideals, $(m,n)$-hyperideals).
Classification : 20N20
Keywords: Ordered semihypergroups, left-$m$-hyperfilters, right-$n$-hyperfilters, $(m;n)$-hyperfilters 
@article{KJM_2022_46_2_a9,
     author = {Ahsan Mahboob and Noor Mohammad Khan},
     title = {$(m,n)${-Hyperfilters} in {Ordered} {Semihypergroups}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {307 },
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_2_a9/}
}
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Ahsan Mahboob; Noor Mohammad Khan. $(m,n)$-Hyperfilters in Ordered Semihypergroups. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 2, p. 307 . http://geodesic.mathdoc.fr/item/KJM_2022_46_2_a9/