Zariski topology on the spectrum of fuzzy classical primary submodules

Abstract

Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy classical prime submodules. In this paper, we topologize FM(M) with a topology having the fuzzy primary Zariski topology on the fuzzy classical primary spectrum F cp.spec(M) as a subspace topology, and investigate the properties of this topological space.

Keywords

• zariski topology
• classical primary submodule
• fuzzy classical primary submodule
• fuzzy classical primary spectrum
• fuzzy primary ideal