Semihereditary prime algebras

DOI10.1080/00927877908822382zbMath0403.16004OpenAlexW1996133507MaRDI QIDQ4187934

Dale Douglas Miller

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822382

zbMATH Keywords

HenselizationPruefer DomainGenerators of Finitely Generated One Sided IdealsNoetherian Hereditary OrdersPrime AlgebraPruefer AlgebraSemi- Hereditary Order

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Localization and associative Noetherian rings (16P50) Radicals and radical properties of associative rings (16Nxx)

Related Items (4)

Integral semihereditary orders, extremality, and Henselization ⋮ Semi-hereditary orders in a simple artinian ring ⋮ On nonsingular right fpf rings ⋮ Modules

Cites Work

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• Projective modules over non-commutative semilocal rings
• Algebras over zero-dimensional rings
• Serial rings and finitely presented modules
• Generating ideals in Prüfer domains
• The construction \(D+XD_s[X\)]
• Stable rings
• Generating modules efficiently: Theorems from algebraic K-theory
• Purity and algebraic compactness for modules
• Non-commutative Dedekind rings
• Lattices over orders I
• Modules over Dedekind prime rings
• \(K\)-theory and stable algebra
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• Hereditary Commutative Rings and Centres of Hereditary Rings
• Semi-Prime Right Goldie Rings which are Direct Sums of Uniform Right Ideals
• On Maximally Central Algebras
• On the Theory of Henselian Rings

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