Geodesic
Characterization of Ordered Semihypergroups by Covered Hyperideals
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 417

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

After introducing the notions of the Green's relation $\mathcal{J}$, hyper $\mathcal{J}$-class and covered hyperideal in an ordered semihypergroup, some important properties of the hyper $\mathcal{J}$-class and covered hyperideals are studied. Then maximal and minimal hyperideals of an ordered semihypergroup are defined and some vital results have been proved. We also define a hyperbase of an ordered semihypergroup and prove the existence of a hyperbase under certain conditions in an ordered semihypergroup. In an ordered semihypergroup, after defining the greatest covered hyperideal and the greatest hyperideal, some results about these hyperideals are proved. Finally, in a regular ordered semihypergroup, we show that, under some conditions, each hyperideal is also a covered hyperideal.
Classification : 20N20, 06F05
Keywords: Ordered semihypergroup, hyperideal, hyper $\mathcalJ$-class, covered hyperideal, maximal hyperideal, minimal hyperideal, greatest covered hyperideal, greatest hyperideal and hyperbase 
@article{KJM_2023_47_3_a6,
     author = {Md Firoj Ali and Noor Mohammad Khan},
     title = {Characterization of {Ordered} {Semihypergroups} by {Covered} {Hyperideals}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {417 },
     publisher = {mathdoc},
     volume = {47},
     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a6/}
}
TY  - JOUR
AU  - Md Firoj Ali
AU  - Noor Mohammad Khan
TI  - Characterization of Ordered Semihypergroups by Covered Hyperideals
JO  - Kragujevac Journal of Mathematics
PY  - 2023
SP  - 417 
VL  - 47
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a6/
LA  - en
ID  - KJM_2023_47_3_a6
ER  - 
%0 Journal Article
%A Md Firoj Ali
%A Noor Mohammad Khan
%T Characterization of Ordered Semihypergroups by Covered Hyperideals
%J Kragujevac Journal of Mathematics
%D 2023
%P 417 
%V 47
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a6/
%G en
%F KJM_2023_47_3_a6
Md Firoj Ali; Noor Mohammad Khan. Characterization of Ordered Semihypergroups by Covered Hyperideals. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 417 . http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a6/