Some topological properties of spectrum of fuzzy submodules

Authors

  • R. Ameri School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Teheran, Iran
  • R. Mahjoob Department of Mathematics, Semnan University, Semnan, Iran
Abstract:

Let $R$ be a commutative ring with identity and $M$ be an$R$-module. Let $FSpec(M)$ denotes the collection of all prime fuzzysubmodules of $M$. In this regards some basic properties of Zariskitopology on $FSpec(M)$ are investigated. In particular, we provesome equivalent conditions for irreducible subsets of thistopological space and it is shown under certain conditions$FSpec(M)$ is a $T_0-$space or Hausdorff.

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Journal title

volume 14  issue 1

pages  77- 87

publication date 2017-02-28

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