%0 Journal Article
%T A Generalization of Torsion Graph for Modules
%A Mohammad Jarrar
%J Applied Mathematics
%P 469-476
%@ 2152-7393
%D 2024
%I Scientific Research Publishing
%R 10.4236/am.2024.157029
%X Let <i>R</i> be a commutative ring with identity and <i>M</i> an <i>R</i>-module. In this paper, we relate a graph to <i>M</i>, say <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
 <mrow>
  <mi>&#x0393;</mi><mrow><mo>(</mo>
   <mi>M</mi>
  <mo>)</mo></mrow></mrow>
</math>

, provided tsshat when <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
 <mrow>
  <mi>M</mi><mo>=</mo><mi>R</mi></mrow>
</math>

, <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
 <mrow>
  <mi>&#x0393;</mi><mrow><mo>(</mo>
   <mi>M</mi>
  <mo>)</mo></mrow></mrow>
</math>

 is exactly the classic zero-divisor graph.
%K Commutative Ring
%K Graph
%K Anihilator
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=134834