Semiprime submodules of a module and related concepts

DOI10.1142/S0219498819501470zbMath1430.13011OpenAlexW2885618886MaRDI QIDQ5230113

Rezvan Varmazyar, Sang Cheol Lee

Publication date: 20 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819501470

zbMATH Keywords

semiprime submodulessemiprime radical formulaweakly semiprime submodules

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Polynomials over commutative rings (13B25) Structure, classification theorems for modules and ideals in commutative rings (13C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Rings of fractions and localization for commutative rings (13B30)

Related Items (5)

On (m, n)-semiprime submodules ⋮ On arithmetical rings and the radical formula ⋮ Unnamed Item ⋮ \(S\)-semiprime submodules and \(S\)-reduced modules ⋮ Unnamed Item

Cites Work

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• Radical formula and prime submodules
• Rings satisfying the radical formula
• One dimensional domains which satisfy the radical formula are Dedekind domains
• Onn-Absorbing Ideals of Commutative Rings
• On Semiprime Submodules
• Prime submodules
• On the prime radical of a module over a commutative ring
• On commutative Noetherian rings which satisfy the radical formula
• On radicals of submodules
• Spectra of modules
• On 2-absorbing ideals of commutative rings
• Multiplication modules

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