Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ZERO-DIVISOR GRAPHS OF MULTIPLICATION MODULES

  • Lee, Sang Cheol (Department of Mathematics Education, and Institute of Pure and Applied Mathematics, Chonbuk National University) ;
  • Varmazyar, Rezvan (Department of Mathematics, Islamic Azad University, Khoy Branch)
  • Received : 2012.10.19
  • Accepted : 2012.11.18
  • Published : 2012.12.25
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Abstract

In this study, we investigate the concept of zero-divisor graphs of multiplication modules over commutative rings as a natural generalization of zero-divisor graphs of commutative rings. In particular, we study the zero-divisor graphs of the module $\mathbb{Z}_n$ over the ring $\mathbb{Z}$ of integers, where $n$ is a positive integer greater than 1.

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References

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