Discrete valuation domains and ranks of their maximal extensions

zbMath0608.13010MaRDI QIDQ1086298

Paolo Zanardo, Alberto Facchini

Publication date: 1986

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1986__75__143_0

zbMATH Keywords

completion defectmaximal immediate extensiontotal defect

Mathematics Subject Classification ID

Valuation rings (13F30) Extension theory of commutative rings (13B02) Complete rings, completion (13J10)

Related Items (10)

Indecomposable injective modules of finite Malcev rank over local commutative rings ⋮ \(u\)-independence and quadratic \(u\)-independence in the construction of indecomposable finitely generated modules. ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Kurosch invariants for torsion-free modules over Nagata valuation domains ⋮ Valuation domains with a maximal immediate extension of finite rank ⋮ Modules over discrete valuation domains. II ⋮ Valuation domains of bounded module type ⋮ Rank-two torsion-free modules over valuation domains ⋮ Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some cardinal invariants for valuation domains
• Valuation domains without pathological modules
• On the completion of a valuation ring
• Injective Modules Over Prufer Rings
• Residual fields in valuation theory.

This page was built for publication: Discrete valuation domains and ranks of their maximal extensions