Zariski topology on the spectrum of fuzzy classical primary submodules
Submitted: 2022-04-01
|Accepted: 2022-07-06
|Published: 2022-10-03
Copyright (c) 2022 Applied General Topology
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
Zariski topology, classical primary submodule, fuzzy classical primary submodule, fuzzy classical primary spectrum, fuzzy primary ideal
Supporting agencies:
Office of the Permanent Secretary, Ministry of Higher Education, Science, Research and Innovation
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.
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