@article {
author = {Payrovi, Sh. and Pejman, S. B. and Babaei, S.},
title = {Resolvability in complement of the intersection graph of annihilator submodules of a module},
journal = {Journal of Algebra and Related Topics},
volume = {8},
number = {1},
pages = {27-37},
year = {2020},
publisher = {University of Guilan},
issn = {2345-3931},
eissn = {2382-9877},
doi = {10.22124/jart.2020.15786.1192},
abstract = {Let $R$ be a commutative ring and $M$ be an $R$-module. The intersection graph of annihilatorsubmodules of $M$, denoted by ${GA(M)}$, is a simple undirected graph whose vertices are the classes of elements of $Z(M)\setminus {\rm Ann}_R(M)$ and two distinct classes $[a]$ and$[b]$ are adjacent if and only if ${\rm Ann}_M(a)\cap {\rm Ann}_M(b)\not=0$. In this paper, we studythe diameter and girth of $\overline{GA(M)}$. Furthermore, we calculate the domination number,metric dimension, adjacency metric dimension and local metric dimension of $\overline{GA(M)}$.},
keywords = {Prime submodule,Annihilator submodule,Intersection graph},
url = {https://jart.guilan.ac.ir/article_4192.html},
eprint = {https://jart.guilan.ac.ir/article_4192_9dbe5c464d78090ee76d13ee64593ea0.pdf}
}