On commutative Noetherian rings which satisfy the radical formula

DOI10.1017/S0017089500032225zbMath0921.13001MaRDI QIDQ4370694

Shing Hing Man, Ka Hin Leung

Publication date: 2 February 1998

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Krull dimensionArtinian ringsNoetherian ringradical formula

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (16)

On commutative noetherian rings which satisfy the generalized radical formula ⋮ Radical formula and prime submodules ⋮ Baer submodules of modules over commutative rings ⋮ Arithmetical rings satisfy the radical formula ⋮ A short Note on prime submodules ⋮ Prime submodules and radical formulae ⋮ Delta operation on modules, prime and radical submodules and primary decomposition ⋮ On prime submodules ⋮ Prime Modules and Submodules ⋮ One dimensional local domains and radical formula ⋮ ON RADICAL FORMULA IN MODULES ⋮ NOETHERIAN SPECTRUM ON RINGS AND MODULES ⋮ Semiprime submodules of a module and related concepts ⋮ On Isolated Submodules ⋮ Zariski Spaces of Modules over Arbitrary Rings ⋮ On chains of prime submodules

Cites Work

• Prime submodules of Noetherian modules
• On Radicals of Submodules of Finitely Generated Modules
• On the prime radical of a module over a commutative ring
• On dimensions of finitely generated modules
• On radicals of submodules

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