\(u\)-independence and quadratic \(u\)-independence in the construction of indecomposable finitely generated modules.

DOI10.1216/rmjm/1181070047zbMath1043.16004OpenAlexW2081249869MaRDI QIDQ1415025

Paolo Zanardo

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-4/CONT32-4/CONT32-4.html

zbMATH Keywords

unitsindecomposable modulesimmediate extensions

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Other classes of modules and ideals in associative algebras (16D80) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain
• On two-generated modules over valuation domains
• Discrete valuation domains and ranks of their maximal extensions
• A note on indecomposable modules over valuation domains
• Finitely generated modules over valuation rings
• Indecomposable finitely generated modules over valuation domains
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