TY - JOUR JF - IJMSI JO - IJMSI VL - 13 IS - 1 PY - 2018 Y1 - 2018/5/01 TI - A Graphical Characterization for SPAP-Rings TT - N2 - 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. SP - 67 EP - 73 AU - Rostami, E. AD - Department of Pure Mathematics, Faculty of Mathematics and Computer,Shahid Bahonar University of Kerman, Kerman, Iran KW - SPAP-Ring KW - Almost prime ideal KW - Zero-divisor graph with respect to an ideal UR - http://ijmsi.ir/article-1-767-en.html ER -