Arithmetical rings satisfy the radical formula

DOI10.1216/JCA-2012-4-2-293zbMath1260.13006OpenAlexW2079606963MaRDI QIDQ1941826

Anand Parkash

Publication date: 22 March 2013

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1343846896

zbMATH Keywords

prime submodulesarithmetical ringsradical formula

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Theory of modules and ideals in commutative rings (13C99)

Related Items (5)

Prime and semiprime submodules of Rn and a related Nullstellensatz for Mn(R) ⋮ Prime submodules and radical formulae ⋮ Arithmetical rings ⋮ Delta operation on modules, prime and radical submodules and primary decomposition ⋮ One dimensional local domains and radical formula

Cites Work

• Radical formula and prime submodules
• Rings satisfying the radical formula
• One dimensional domains which satisfy the radical formula are Dedekind domains
• MODULES OVER PRÜFER DOMAINS WHICH SATISFY THE RADICAL FORMULA
• RADICAL FORMULA AND WEAKLY 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
• Arithmetical rings

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