On \(S\)-second spectrum of a module

DOI10.1007/s13398-022-01316-3zbMath1496.13013OpenAlexW4293340418MaRDI QIDQ2081222

Seçil Çeken

Publication date: 12 October 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01316-3

zbMATH Keywords

\(S\)-cotop module\(S\)-dual quasi-Zariski topology\(S\)-dual Zariski topology\(S\)-second submodule

Mathematics Subject Classification ID

Basic constructions in general topology (54B99) Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)

Cites Work

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• \(S\)-prime ideals of a commutative ring
• The dual notion of the prime radical of a module.
• The dual notion of multiplication modules.
• Modules Satisfying the S-Noetherian Property and S-ACCR
• The Zariski Topology on the Second Spectrum of a Module
• Commutative ideal theory without finiteness conditions: Completely irreducible ideals
• Prime modules.
• S-Noetherian spectrum condition
• S-NOETHERIAN RINGS
• Second Modules Over Noncommutative Rings
• S-Artinian rings and finitely S-cogenerated rings
• On $S$-comultiplication modules
• Zariski Topologies for Coprime and Second Submodules
• On S-prime submodules
• On S-Zariski topology
• S-secondary submodules of a module