Flatness testing and torsionfree morphisms

DOI10.1016/S0022-4049(97)00062-5zbMath0885.13006OpenAlexW1979671175MaRDI QIDQ1376310

Vasconcelos, Wolmer V.

Publication date: 27 April 1998

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00062-5

zbMATH Keywords

dimensionhomomorphismflatness

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (8)

Vertical components and flatness of Nash mappings ⋮ Natural bound in Kwiecinski’s criterion for flatness ⋮ Automorphisms mapping a point into a subvariety ⋮ Vertical components in fibre powers of analytic spaces. ⋮ Detecting flatness over smooth bases ⋮ Flatness testing and torsion freeness of analytic tensor powers ⋮ $3$-Manifold Groups are Virtually Residually $p$ ⋮ Flatness and fibred powers over smooth varieties

Uses Software

• CoCoA
• Macaulay2

Cites Work

• Modules over unramified regular local rings
• Direct methods for primary decomposition
• Primitive ideals in enveloping algebras
• Tensor products of modules and the rigidity of Tor
• Gröbner bases and primary decomposition in polynomial rings in one variable over Dedekind domains
• On the vanishing of Tor in regular local rings
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
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