The acyclicity of the Frobenius functor for modules of finite flat dimension

DOI10.1016/j.jpaa.2016.01.007zbMath1375.13019arXiv1501.00336OpenAlexW2964275373MaRDI QIDQ258148

Thomas Marley, Marcus Webb

Publication date: 17 March 2016

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

Full work available at URL: https://arxiv.org/abs/1501.00336

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Frobenius and homological dimensions of complexes ⋮ Detecting finite flat dimension of modules via iterates of the Frobenius endomorphism ⋮ Characterizing Gorenstein rings using contracting endomorphisms

Cites Work

• Unnamed Item
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Depth for complexes, and intersection theorems
• Ringe der Charakteristik p und Frobeniusfunktoren
• Flat covers of modules
• Grothendieck groups and Picard groups of abelian group rings
• On the vanishing of \(\lim_{(i)}\)
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• On invariants dual to the Bass numbers
• ALL MODULES HAVE FLAT COVERS
• Homological Dimension in Noetherian Rings.
• Flat Covers and Flat Cotorsion Modules
• On the $\mu^i$ in a minimal injective resolution II.
• The Existence of Flat Covers Over Noetherian Rings of Finite Krull Dimension
• Local homology and cohomology on schemes
• Injective Dimension in Noetherian Rings
• Characterizations of Regular Local Rings of Characteristic p