Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک ایرانیان
IJMSI
Basic Sciences
http://ijmsi.ir
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admin
1735-4463
2008-9473
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8888
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jalali
1397
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gregorian
2018
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A Graphical Characterization for SPAP-Rings
تخصصي
Special
پژوهشي
Research
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<p></p><p></p>
<p>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.</p>
SPAP-Ring, Almost prime ideal, Zero-divisor graph with respect to an ideal
67
73
http://ijmsi.ir/browse.php?a_code=A-10-1272-2&slc_lang=en&sid=1
E.
Rostami
e_rostami@uk.ac.ir
`10031947532846004437`

10031947532846004437
Yes
Department of Pure Mathematics, Faculty of Mathematics and Computer,Shahid Bahonar University of Kerman, Kerman, Iran