Some Homological Criteria for Regular, Complete Intersection and Gorenstein Rings
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Publication:2806129
DOI10.1017/S0013091515000140zbMath1343.13021arXiv1209.5051OpenAlexW2963424056MaRDI QIDQ2806129
Publication date: 13 May 2016
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.5051
Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)
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Cites Work
- Homological invariants of modules over contracting endomorphisms
- Complete intersection dimensions and Foxby classes
- Contracting endomorphisms and Gorenstein modules
- On a result of Avramov
- Modules of differentials in characteristic \(p\)
- Some restrictions on the maps in minimal resolutions
- On the morphisms of complete intersection in characteristic \(p\)
- Structure of local homomorphisms
- Cohen-Macaulay properties of ring homomorphisms
- Complete intersection dimension
- Ringe der Charakteristik p und Frobeniusfunktoren
- Construction of modules with finite homological dimensions
- Upper complete intersection dimension relative to a local homomorphism
- Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology
- Homology over local homomorphisms
- Characterizing Cohen-Macaulay local rings by Frobenius maps
- Characterizations of Regular Local Rings of Characteristic p
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