AU - Rostami, E.
TI - A Graphical Characterization for SPAP-Rings
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 13
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-767-en.html
4100 - http://ijmsi.ir/article-1-767-en.pdf
SO - IJMSI 1
ABĀ - 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.
CP - IRAN
IN - Kerman, Iran.
LG - eng
PB - IJMSI
PG - 67
PT - Research paper
YR - 2018