Some topological properties of spectrum of fuzzy submodules

Author(s):

R. Ameri * , R. Mahjoob

Abstract:
Let $R$ be a commutative ring with identity and $M$ be an $R$-module. Let $FSpec(M)$ denotes the collection of all prime fuzzy submodules of $M$. In this regards some basic properties of Zariski topology on $FSpec(M)$ are investigated. In particular, we prove some equivalent conditions for irreducible subsets of this topological space and it is shown under certain conditions $FSpec(M)$ is a $T_0-$space or Hausdorff.
Keywords:

Fuzzy prime submodule , Fuzzy prime spectrum , Zariski topology , Irreducible subset

Language:
English
Published:
Iranian journal of fuzzy systems, Volume:14 Issue: 1, Feb-Mar 2017
Pages:
77 to 87
https://www.magiran.com/p1659317  
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