Orders of Higher Rank in Semisimple Artinian Rings

DOI10.1002/mana.19961820105zbMath0866.16008OpenAlexW1984812024MaRDI QIDQ4715528

Joachim Graeter, Hans-Heinrich Brungs

Publication date: 10 July 1997

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19961820105

zbMATH Keywords

regular elementsvaluation ringslocalizationssemisimple Artinian ringsBezout ordersregular principal ideals

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Artinian rings and modules (associative rings and algebras) (16P20) Localization and associative Noetherian rings (16P50)

Related Items (1)

On semilocal, Bézout and distributive generalized power series rings

Cites Work

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• Valuations of skew fields and projective Hjelmslev spaces
• Cancellation of modules and groups and stable range of endomorphism rings

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