A Problem on Noetherian Local Rings of Characteristic p

DOI10.2307/2041427zbMath0408.13008OpenAlexW4250276851MaRDI QIDQ4195057

Shiro Goto

Publication date: 1977

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

Full work available at URL: https://doi.org/10.2307/2041427

zbMATH Keywords

Gorenstein RingLocal Noetherian RingHomological Dinemsion

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05)

Related Items (10)

Contracting endomorphisms and dualizing complexes ⋮ Notes on the Hilbert-Kunz function. ⋮ Frobenius criteria of freeness and Gorensteinness ⋮ A sufficient condition for \(F\)-purity ⋮ Characterizing Gorenstein rings using contracting endomorphisms ⋮ On the interplay between the Frobenius functor and its dual ⋮ The Frobenius functor and injective modules ⋮ The structure of one-dimensional F-pure rings ⋮ Base change along the Frobenius endomorphism and the Gorenstein property ⋮ Some criteria for the Gorenstein property

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