Flat polynomial endomorphisms

DOI10.1016/0021-8693(91)90197-GzbMath0747.13015MaRDI QIDQ1174737

Gabriel Picavet

Publication date: 25 June 1992

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

zbMATH Keywords

Jacobian conjecturecontent of polynomialflat polynomial endomorphism

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Cites Work

• Submersion et descente. (Submersion and descent)
• Incomparability in ring extensions
• A Jacobian criterion for separability
• Trivialisation des modules projectifs. La méthode de Kronecker
• Finiteness in flat modules and algebras
• Critères différentiels de régularité pour les localises des algèbres analytiques
• Anneaux locaux henséliens
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Big projective modules are free
• R-Sequences and Homological Dimension
• Proprietes et applications de la notion de contenu
• Ultrafiltres sur un espace spectral - Anneaux de Baer - Anneaux a spectre minimal compact.
• Flat idelas i
• A Remark on Flat and Projective Modules
• Autour de la platitude
• Flat Modules Over Commutative Noetherian Rings
• Content Modules and Algebras.
• The Finiteness of I When R[ X /I is Flat]
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