Geodesic
Regularity of Semigroups in Terms of Hybrid Ideals and Hybrid Bi-Ideals
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 857 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this paper, we establish some equivalent conditions for a semigroup to be regular and intra-regular, in terms of hybrid ideals and hybrid bi-ideals. We also characterize the left and right simple and the completely regular semigroups utilizing hybrid ideals and hybrid bi-ideals. We show that a semigroup $\mathcal{S}$ is left simple if and only if it is hybrid left simple. We also prove that if a semigroup $\mathcal{S}$ is intra-regular, then for each hybrid ideal $\tilde{j}_µ$ of $\mathcal{S},$ we have $\tilde{j}_µ(r_1r_2)=\tilde{j}_µ(r_2r_1)$ for all $r_1,r_2\in \mathcal{S}$.
Classification : 20M12, 20M17, 06D72
Keywords: Semigroup, ideals, regular, hybrid structure, hybrid ideal, hybrid bi-ideal and hybrid product 
@article{KJM_2022_46_6_a1,
     author = {Balasubramanian Elavarasan and Young Bae Jun},
     title = {Regularity of {Semigroups} in {Terms} of {Hybrid} {Ideals} and {Hybrid} {Bi-Ideals}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {857 },
     year = {2022},
     volume = {46},
     number = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a1/}
}
TY  - JOUR
AU  - Balasubramanian Elavarasan
AU  - Young Bae Jun
TI  - Regularity of Semigroups in Terms of Hybrid Ideals and Hybrid Bi-Ideals
JO  - Kragujevac Journal of Mathematics
PY  - 2022
SP  - 857 
VL  - 46
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a1/
LA  - en
ID  - KJM_2022_46_6_a1
ER  - 
%0 Journal Article
%A Balasubramanian Elavarasan
%A Young Bae Jun
%T Regularity of Semigroups in Terms of Hybrid Ideals and Hybrid Bi-Ideals
%J Kragujevac Journal of Mathematics
%D 2022
%P 857 
%V 46
%N 6
%U http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a1/
%G en
%F KJM_2022_46_6_a1
Balasubramanian Elavarasan; Young Bae Jun. Regularity of Semigroups in Terms of Hybrid Ideals and Hybrid Bi-Ideals. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 6, p. 857 . http://geodesic.mathdoc.fr/item/KJM_2022_46_6_a1/