University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414120170228Some topological properties of spectrum of fuzzy submodules7787303810.22111/ijfs.2017.3038ENR.AmeriSchool of Mathematics, Statistics and Computer Science, College of
Sciences, University of Tehran, Teheran, IranR.MahjoobDepartment of Mathematics, Semnan University, Semnan, IranJournal Article20150125Let $R$ be a commutative ring with identity and $M$ be an<br />$R$-module. Let $FSpec(M)$ denotes the collection of all prime fuzzy<br />submodules of $M$. In this regards some basic properties of Zariski<br />topology on $FSpec(M)$ are investigated. In particular, we prove<br />some equivalent conditions for irreducible subsets of this<br />topological space and it is shown under certain conditions<br />$FSpec(M)$ is a $T_0-$space or Hausdorff.https://ijfs.usb.ac.ir/article_3038_cf0537ee7303573d6949705f2d57737a.pdf