Homological invariants of modules over contracting endomorphisms

DOI10.1007/s00208-011-0682-zzbMath1241.13013arXiv1010.3029OpenAlexW2094469216WikidataQ101247503 ScholiaQ101247503MaRDI QIDQ425160

Luchezar L. Avramov, Yongwei Yao, Melvin Hochster, Srikanth B. Iyengar

Publication date: 7 June 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3029

zbMATH Keywords

regular ringhomological dimensioncontracting endomorphisms

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Regular local rings (13H05)

Related Items (10)

Torsion in tensor powers of modules ⋮ Entropy and flatness in local algebraic dynamics ⋮ Contracting endomorphisms and dualizing complexes ⋮ Detecting finite flat dimension of modules via iterates of the Frobenius endomorphism ⋮ Characterizing Gorenstein rings using contracting endomorphisms ⋮ Homological dimensions of rigid modules ⋮ Some Homological Criteria for Regular, Complete Intersection and Gorenstein Rings ⋮ Base change along the Frobenius endomorphism and the Gorenstein property ⋮ A DESCENT THEOREM FOR FORMAL SMOOTHNESS ⋮ Regularity over homomorphisms and a Frobenius characterization of Koszul algebras

Cites Work

• Unnamed Item
• On a result of Avramov
• Finiteness in derived categories of local rings
• Homology over local homomorphisms
• F-Regularity, Test Elements, and Smooth Base Change
• Characterizations of Regular Local Rings of Characteristic p

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