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/