Characterizing Cohen-Macaulay local rings by Frobenius maps

DOI10.1090/S0002-9939-04-07525-2zbMath1094.13007OpenAlexW1763300784MaRDI QIDQ4813745

Ryo Takahashi, Yuji Yoshino

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07525-2

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Contracting endomorphisms and dualizing complexes ⋮ On the interplay between the Frobenius functor and its dual ⋮ A Bass Formula for Gorenstein Injective Dimension ⋮ Some Homological Criteria for Regular, Complete Intersection and Gorenstein Rings ⋮ Base change along the Frobenius endomorphism and the Gorenstein property ⋮ Characterization of modules of finite projective dimension via Frobenius functors ⋮ A DESCENT THEOREM FOR FORMAL SMOOTHNESS ⋮ Regularity over homomorphisms and a Frobenius characterization of Koszul algebras

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