%0 Journal Article
%A Rostami, E.
%T A Graphical Characterization for SPAP-Rings
%J Iranian Journal of Mathematical Sciences and Informatics
%V 13
%N 1
%U http://ijmsi.ir/article-1-767-en.html
%R
%D 2018
%K SPAP-Ring, Almost prime ideal, Zero-divisor graph with respect to an ideal,
%X Let $R$ be a commutative ring and $I$ an ideal of $R$. The zero-divisor graph of $R$ with respect to $I$, denoted by $Gamma_I(R)$, is the simple graph whose vertex set is ${x in Rsetminus I mid xy in I$, for some $y in Rsetminus I}$, with two distinct vertices $x$ and $y$ are adjacent if and only if $xy in I$. In this paper, we state a relation between zero-divisor graph of $R$ with respect to an ideal and almost prime ideals of $R$. We then use this result to give a graphical characterization for $SPAP$-rings.
%> http://ijmsi.ir/article-1-767-en.pdf
%P 67-73
%& 67
%!
%9 Research
%L A-10-1272-2
%+ Department of Pure Mathematics, Faculty of Mathematics and Computer,Shahid Bahonar University of Kerman, Kerman, Iran
%G eng
%@ 1735-4463
%[ 2018