Some topological properties of spectrum of fuzzy submodules

Let R be a commutative ring with identity and M be anR-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 conditionsFSpec(M) is a T_۰-space or Hausdorff.

کلیدواژه ها:

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