Modules which satisfy the radical formula

DOI10.1023/A:1015624503160zbMath1006.13002OpenAlexW1784474526MaRDI QIDQ5894852

Patrick F. Smith, D. Pusat-Yilmaz

Publication date: 20 October 2002

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015624503160

zbMATH Keywords

prime submoduledivisible moduleradical of a submodulesemi-artinian module

Mathematics Subject Classification ID

Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Torsion modules and ideals in commutative rings (13C12)

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Prime and semiprime submodules of Rn and a related Nullstellensatz for Mn(R), Unnamed Item, Baer submodules of modules over commutative rings, Prime submodules and radical formulae, Modules with Noetherian Spectrum, Delta operation on modules, prime and radical submodules and primary decomposition, On prime submodules, Prime Submodules and a Sheaf on the Prime Spectra of Modules, Projective modules and prime submodules, ON RADICAL FORMULA IN MODULES, On modules satisfying \(S\)-dccr condition, The radical formula for noncommutative rings