A Local Flatness Criterion for Complete Modules

DOI10.1080/00927870601042159zbMath1115.13017OpenAlexW2045317939MaRDI QIDQ3430285

Hans Schoutens

Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601042159

zbMATH Keywords

completionflatnessBetti numberscomplete modulesTor-criteria

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Injective and flat modules and ideals in commutative rings (13C11)

Related Items

Flatness and completion revisited

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the vanishing of Tor of the absolute integral closure
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Grade-Sensitive Modules and Perfect Modules
• Projective Dimension and the Singular Locus
• Complete flat modules
• Rigid analytic flatificators
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman