Some topological properties of spectrum of intuitionistic fuzzy prime submodules
Authors :
P. K. Sharma 1 * and Kanchan 2
Author Address :
1 Post-Graduate Department of Mathematics, DAV College, Jalandhar-144008, Punjab, India.
2 Research Scholar, IKGPT University, Jalandhar-144603, Punjab, India.
*Corresponding author.
Abstract :
Let $R$ be a commutative ring with a non-zero identity, and let $M$ be an $R$-module. Let $IFSpec(M)$ denotes the collection of all intuitionistic fuzzy prime submodules of $M$. In this regards some basic properties of Zariski topology on $IFSpec(M)$ are investigated. In particular, we prove some equivalent conditions for irreducible subsets of this topological space and it is shown under certain conditions $IFSpec(M)$ is a $T_{0}$-space or Hausdorff.
Keywords :
Intuitionistic fuzzy prime submodules, Intuitionistic fuzzy prime Spectrum, top modules, Zariski topology.
DOI :
Article Info :
Received : July 16, 2020; Accepted : September 02, 2020.
