Geodesic
The Co-annihilating-ideal Graphs of Commutative Rings
Canadian mathematical bulletin, Tome 60 (2017) no. 1, pp. 3-11

Voir la notice de l'article provenant de la source Cambridge

DOI

Let $R$ be a commutative ring with identity. The co-annihilating-ideal graph of $R$ , denoted by ${{\mathcal{A}}_{R}}$ , is a graph whose vertex set is the set of all non-zero proper ideals of $R$ and two distinct vertices $I$ and $J$ are adjacent whenever $\text{Ann}\left( I \right)\,\cap \,\text{Ann}\left( J \right)\,=\,\left\{ 0 \right\}$ . In this paper we initiate the study of the co-annihilating ideal graph of a commutative ring and we investigate its properties.
DOI : 10.4153/CMB-2016-017-1
Mots-clés : 13A15, 16N40, commutative ring, co-annihilating-ideal graph 
Akbari, Saeeid; Alilou, Abbas; Amjadi, Jafar; Sheikholeslami, Seyed Mahmoud. The Co-annihilating-ideal Graphs of Commutative Rings. Canadian mathematical bulletin, Tome 60 (2017) no. 1, pp. 3-11. doi: 10.4153/CMB-2016-017-1
@article{10_4153_CMB_2016_017_1,
     author = {Akbari, Saeeid and Alilou, Abbas and Amjadi, Jafar and Sheikholeslami, Seyed Mahmoud},
     title = {The {Co-annihilating-ideal} {Graphs} of {Commutative} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {3--11},
     year = {2017},
     volume = {60},
     number = {1},
     doi = {10.4153/CMB-2016-017-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-017-1/}
}
TY  - JOUR
AU  - Akbari, Saeeid
AU  - Alilou, Abbas
AU  - Amjadi, Jafar
AU  - Sheikholeslami, Seyed Mahmoud
TI  - The Co-annihilating-ideal Graphs of Commutative Rings
JO  - Canadian mathematical bulletin
PY  - 2017
SP  - 3
EP  - 11
VL  - 60
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-017-1/
DO  - 10.4153/CMB-2016-017-1
ID  - 10_4153_CMB_2016_017_1
ER  - 
%0 Journal Article
%A Akbari, Saeeid
%A Alilou, Abbas
%A Amjadi, Jafar
%A Sheikholeslami, Seyed Mahmoud
%T The Co-annihilating-ideal Graphs of Commutative Rings
%J Canadian mathematical bulletin
%D 2017
%P 3-11
%V 60
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-017-1/
%R 10.4153/CMB-2016-017-1
%F 10_4153_CMB_2016_017_1

Cité par Sources :