On modules of finite projective dimension over complete intersections

DOI10.1090/S0002-9939-02-06536-XzbMath1007.13006OpenAlexW1526362378MaRDI QIDQ3151186

Sankar P. Dutta

Publication date: 7 October 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06536-x

zbMATH Keywords

Torcharacteristic \(p\)complete intersectionflatnessFrobeniusfinite projective dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (3)

Frobenius and homological dimensions of complexes ⋮ Characterization of modules of finite projective dimension over complete intersections ⋮ Characterization of modules of finite projective dimension via Frobenius functors

Cites Work

• Frobenius and multiplicities
• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• Ringe der Charakteristik p und Frobeniusfunktoren
• Some factorization properties of composite domains a+xb[x and a+xbx]
• Characterizations of Regular Local Rings of Characteristic p
• Frobenius powers of complete intersections.

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