Basic element theory of noncommutative Noetherian rings

DOI10.1016/0021-8693(91)90125-RzbMath0744.16013MaRDI QIDQ1178873

S. C. Coutinho

Publication date: 26 June 1992

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

zbMATH Keywords

compatibilitybasic elementnoetherian rings\(J\)-prime idealsbasic dimensionBass cancellationsplitting-off

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Locally free (ℙⁿ)-modules ⋮ Generating Modules Efficiently Over Noncommutative Noetherian Rings

Cites Work

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• Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings
• Stable structure of noncommutative Noetherian rings. II
• Generating modules efficiently: Theorems from algebraic K-theory
• The number of generators of a module
• \(K\)-theory and stable algebra
• The basic element theorem for fully bounded rings and some applications
• Krull dimension
• Generating Modules Efficiently Over Noncommutative Noetherian Rings

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