Frobenius criteria of freeness and Gorensteinness

DOI10.1007/s00013-012-0391-1zbMath1248.13011arXiv1204.2456OpenAlexW2127997196MaRDI QIDQ438611

Jinjia Li

Publication date: 31 July 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2456

zbMATH Keywords

Gorenstein ringrigidityFrobeniusfinite projective dimension

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

• Unnamed Item
• On the (non)rigidity of the Frobenius endomorphism over Gorenstein rings
• Contracting endomorphisms and Gorenstein modules
• Some restrictions on the maps in minimal resolutions
• Socle degrees of Frobenius powers
• On the vanishing of Tor in regular local rings
• Some criteria for the Gorenstein property
• A Problem on Noetherian Local Rings of Characteristic p
• A characterization of Gorenstein rings in characteristic $p\ (>0)$
• Frobenius powers of complete intersections.

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