Free algebras over Bezout domains are Sylvester domains

DOI10.1016/0022-4049(83)90026-9zbMath0503.16001OpenAlexW2000969196MaRDI QIDQ1173138

Warren Dicks

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90026-9

zbMATH Keywords

patchingannihilatorfinitely generated projective modulefree ringsemifirskew Bezout domainSylvester domain

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Free, projective, and flat modules and ideals in associative algebras (16D40) Division rings and semisimple Artin rings (16Kxx)

Related Items (4)

Finitely presented modules over Leavitt algebras. ⋮ Associative rings ⋮ Universal localizations embedded in power-series rings ⋮ On the construction of Sylvester domains

Cites Work

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• Projective modules over R[\(X_ 1,\)\dots ,X//n, R a Prüfer domain]
• An exact sequence for rings of polynomials in partly commuting indeterminates
• Sylvester domains
• Cancellation of Azumaya algebras
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Localization in Semifirs II
• Coherence of Polynomial Rings
• Localization in Semifirs
• On projective modules over polynomial rings
• Projective modules over polynomial rings

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