Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE PRIME SPECTRUM OF A MODULE OVER A COMMUTATIVE NOETHERIAN RING

  • Ansari-Toroghy, H. (Department of Mathematics Faculty of Science Guilan University) ;
  • Sarmazdeh-Ovlyaee, R. (Department of Mathematics Faculty of Science Guilan University)
  • Received : 2007.05.18
  • Accepted : 2007.08.14
  • Published : 2007.09.25
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Abstract

Let R be a commutative ring and let M be an R-module. Let X = Spec(M) be the prime spectrum of M with Zariski topology. Our main purpose in this paper is to specify the topological dimensions of X, where X is a Noetherian topological space, and compare them with those of topological dimensions of $Supp_{R}$(M). Also we will give a characterization for the irreducibility of X and we obtain some related results.

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References

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Cited by

  1. The Zariski Topology-Graph of Modules Over Commutative Rings vol.42, pp.8, 2014, https://doi.org/10.1080/00927872.2013.780065