%0 Journal Article
%T Some classes of perfect annihilator-ideal graphs associated with commutative rings
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Adlifard, M.
%A Payrovi, Sh.
%D 2021
%\ 06/01/2021
%V 9
%N 1
%P 21-29
%! Some classes of perfect annihilator-ideal graphs associated with commutative rings
%K Annihilator-ideal graph
%K Perfect graph
%K Chromatic number
%K Clique number
%R 10.22124/jart.2021.17227.1214
%X Let $R$ be a commutative ring and let $\Bbb A(R)$ bethe set of all ideals of $R$ with nonzero annihilator.The annihilator-ideal graph of $R$ is defined as the graph${A_I}(R)$ with the vertex set $\Bbb A(R)^*=\Bbb A(R)\setminus\{0\}$ and twodistinct vertices $I$ and $J$ are adjacent if and only if${\rm Ann}_R(IJ)\neq{\rm Ann}_R(I) \cup{\rm Ann}_R(J)$. In this paper, perfectness of${A_I}(R)$ for some classes of rings is investigated.
%U https://jart.guilan.ac.ir/article_4805_94dd66e60e677c95c058bec639a9936b.pdf