Zariski topology on the spectrum of fuzzy classical primary submodules

DOI10.4995/agt.2022.17427zbMath1499.13038OpenAlexW4300863703MaRDI QIDQ5049615

Phakakorn Panpho, Pairote Yiarayong

Publication date: 11 November 2022

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2022.17427

zbMATH Keywords

Zariski topologyclassical primary submodulefuzzy primary idealfuzzy classical primary spectrumfuzzy classical primary submodule

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Structure, classification theorems for modules and ideals in commutative rings (13C05) Spectra in general topology (54B35) Graded rings and modules (associative rings and algebras) (16W50) General radicals and associative rings (16N80) General module theory in associative algebras (16D10) Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)

Cites Work

• Spectrum of prime \(L\)-submodules
• Prime submodules and flat modules
• The Zariski topology on the spectrum of prime \(L\)-submodules
• Fuzzy invariant subgroups and fuzzy ideals
• On the prime spectrum of modules
• A Zariski Topology for Modules
• On the Prime Spectrum of a Module and Zariski Topologies
• Projective modules and prime submodules
• Prime modules.
• Fuzzy sets
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