One dimensional domains which satisfy the radical formula are Dedekind domains

DOI10.1007/BF01207828zbMath0854.13010MaRDI QIDQ1924907

Shing Hing Man

Publication date: 6 January 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Dedekind domainradical formula

Mathematics Subject Classification ID

Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (10)

On commutative noetherian rings which satisfy the generalized radical formula ⋮ Radical formula and prime submodules ⋮ Arithmetical rings satisfy the radical formula ⋮ Modules satisfying the prime and maximal radical conditions ⋮ Delta operation on modules, prime and radical submodules and primary decomposition ⋮ One dimensional local domains and radical formula ⋮ RADICAL FORMULA AND WEAKLY PRIME SUBMODULES ⋮ Prime virtually semisimple modules and rings ⋮ Semiprime submodules of a module and related concepts ⋮ On chains of prime submodules

Cites Work

• Prime submodules of Noetherian modules
• On the prime radical of a module over a commutative ring
• A principal ideal theorem analogue for modules over commutative rings
• On radicals of submodules

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