Weakly based modules over Dedekind domains

DOI10.1016/J.JALGEBRA.2013.09.031zbMath1308.13013OpenAlexW1965900578WikidataQ114565342 ScholiaQ114565342MaRDI QIDQ397851

Michal Hrbek, Pavel Růžička

Publication date: 12 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.09.031

zbMATH Keywords

torsionDedekind domainweak basissemisimplelocalminimal generating set

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Torsion modules and ideals in commutative rings (13C12)

Related Items (5)

On the existence of weak bases for vector spaces ⋮ Covering classes and uniserial modules ⋮ Projective covers and minimal sets of generators over local rings ⋮ Projective covers over local rings ⋮ Free covers and minimal sets of generators

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• Abelian Groups with a Minimal Generating Set
• Ulm's Theorem for Totally Projective Groups
• Algèbre

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