Reducedness, formal smoothness and approximation in characteristic p

DOI10.1080/00927879508825309zbMath0824.13005OpenAlexW2101670066MaRDI QIDQ4834867

Tiberiu Dumitrescu

Publication date: 9 November 1995

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879508825309

zbMATH Keywords

homomorphismFrobeniusprime characteristic

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Morphisms of commutative rings (13B10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (10)

Unramified \(F\)-divided objects and the étale fundamental pro-groupoid in positive characteristic ⋮ Regularity and finite flat dimension in characteristicp>0 ⋮ On the localization theorem for \(F\)-pure rings ⋮ F-Pure Homomorphisms, StrongF-regularity, andF-injectivity ⋮ On the morphisms of complete intersection in characteristic \(p\) ⋮ Hilbert-Kunz multiplicity of fibers and Bertini theorems ⋮ Smoothness and differentials in positive characteristic ⋮ A DESCENT THEOREM FOR FORMAL SMOOTHNESS ⋮ \(F\)-finiteness of homomorphisms and its descent ⋮ On the behavior of F-rational rings under flat base change

Cites Work

• Unnamed Item
• Reduced morphisms and Nagata rings
• Rings with approximation property
• Modules of differentials in characteristic \(p\)
• Noetherian property of inductive limits of Noetherian local rings
• Homologie de Frobenius. (Frobenius homology)

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