Modules with Noetherian Spectrum

DOI10.1080/00927870802578050zbMath1189.13012OpenAlexW2012087518MaRDI QIDQ3562298

Chin-Pi Lu

Publication date: 21 May 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802578050

zbMATH Keywords

Zariski topologycombinatorial dimensionprime submoduleprime spectrum noetherian spectrum

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)

Related Items (22)

Unnamed Item ⋮ The Zariski topology on the second spectrum of a module (II) ⋮ The Graded Classical Prime Spectrum with the Zariski Topology as a Notherian Topological Space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Zariski Topology on the Second Spectrum of a Module ⋮ Unnamed Item ⋮ On modules satisfying \(S\)-Noetherian spectrum condition ⋮ A generalization of Hartshorne's connectedness theorem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Second spectrum of modules and spectral spaces ⋮ Unnamed Item ⋮ A sheaf on the second spectrum of a module ⋮ Modules and Spectral Spaces ⋮ Prime Submodules and a Sheaf on the Prime Spectra of Modules ⋮ The Dual Notion of Content Modules ⋮ On modules satisfying \(S\)-dccr condition ⋮ Unnamed Item ⋮ On strongly dccr⋆ modules ⋮ On the prime spectrum of an le-module ⋮ On spectrum of comultiplication modules

Cites Work

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• The Laskerian property in commutative rings
• Factorial modules
• On chains of prime submodules
• Rings satisfying the radical formula
• Rings with Noetherian spectrum
• On the spectrum of a module over a commutative ring
• On Radicals of Submodules of Finitely Generated Modules
• Prime modules.
• On commutative noetherian rings which satisfy the generalized radical formula
• A principal ideal theorem analogue for modules over commutative rings
• On radicals of submodules
• Spectra of modules
• Prime Modules
• Content Modules and Algebras.
• Modules which satisfy the radical formula
• Multiplication modules

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