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Issue:Zariski topology on the spectrum of intuitionistic fuzzy classical primary submodules

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Title of paper: Zariski topology on the spectrum of intuitionistic fuzzy classical primary submodules
Author(s):
Poonam Kumar Sharma
Post-Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3, pages 203–214
DOI: https://doi.org/10.7546/nifs.2024.30.3.203-214
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Abstract: In this paper, we define and study the notion of intuitionistic fuzzy classical primary submodules over a unitary R-module M, where R is a commutative ring with unity. This is a generalisation of intuitionistic fuzzy primary ideals and intuitionistic fuzzy classical prime submodules. We further topologize the collection of all intuitionistic fuzzy submodules on an R-module M with a topology having the intuitionistic fuzzy primary Zariski topology on the intuitionistic fuzzy classical primary spectrum IFcpspec(M) as a subspace topology and investigate the properties of this topological space.
Keywords: Zariski topology, Classical primary submodule, Intuitionistic fuzzy classical primary submodule, Intuitionistic fuzzy classical primary spectrum, Intuitionistic fuzzy primary ideal.
AMS Classification: 54C50, 03F55, 16D10, 08A72, 16N80.
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