Geodesic
Chain Condition and Fundamental Relation on $(\Delta,G)$-Sets Derived from $\Gamma$-semihypergroups
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 21 .

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

The aim of this research work is to define a new class of hyperstructure as a generalization of semigroups, semihypergroups and $\Gamma$-semihypergroups that we call $(\Delta,G)$-sets. Also, we define fundamental relation on $(\Delta,G)$-sets and prove some results in this respect. Then, we introduce the notions of quotient $(\Delta,G)$-sets by using a congruence relations. Finally, we introduce the concept of complete parts and Noetherian(Artinian) $(\Delta,G)$-sets.
Classification : 20N15
Keywords: $\Gamma$-semihypergroup, left(right) $(\Delta;G)$-set, twist product, flat $\Gamma$-semihypergroup, absolutely flat $\Gamma$-semihypergroup 
@article{KJM_2021_45_1_a1,
     author = {S. Ostadhadi-Dehkordi},
     title = {Chain {Condition} and {Fundamental} {Relation} on $(\Delta,G)${-Sets} {Derived} from $\Gamma$-semihypergroups},
     journal = {Kragujevac Journal of Mathematics},
     pages = {21 },
     publisher = {mathdoc},
     volume = {45},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a1/}
}
TY  - JOUR
AU  - S. Ostadhadi-Dehkordi
TI  - Chain Condition and Fundamental Relation on $(\Delta,G)$-Sets Derived from $\Gamma$-semihypergroups
JO  - Kragujevac Journal of Mathematics
PY  - 2021
SP  - 21 
VL  - 45
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a1/
LA  - en
ID  - KJM_2021_45_1_a1
ER  - 
%0 Journal Article
%A S. Ostadhadi-Dehkordi
%T Chain Condition and Fundamental Relation on $(\Delta,G)$-Sets Derived from $\Gamma$-semihypergroups
%J Kragujevac Journal of Mathematics
%D 2021
%P 21 
%V 45
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a1/
%G en
%F KJM_2021_45_1_a1
S. Ostadhadi-Dehkordi. Chain Condition and Fundamental Relation on $(\Delta,G)$-Sets Derived from $\Gamma$-semihypergroups. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 21 . http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a1/