Some topological properties of spectrum of fuzzy submodules
نویسندگان
1 School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Teheran, Iran
2 Department of Mathematics, Semnan University, Semnan, Iran
doi
10.22111/ijfs.2017.3038چکیده
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.
