Homologie de Frobenius. (Frobenius homology)

DOI10.1007/BF01459241zbMath0724.13004MaRDI QIDQ2277028

Michel André

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/164814

zbMATH Keywords

Frobenius mapshomology modulesFrobenius object

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (6)

Reducedness, formal smoothness and approximation in characteristic p ⋮ Morphismes essentiels et homologie nulle ⋮ Discrete valuation rings and modules of differentials ⋮ \(F\)-finiteness of homomorphisms and its descent ⋮ On the behavior of F-rational rings under flat base change ⋮ Another proof of the theorem connecting regularity and flatness in characteristic \(p\)

Cites Work

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• Produit tensoriel et complexe cotangent. (Tensor product and cotangent complex)
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• Differential Basis and p-Basis of a Regular Local Ring
• On Differentiably Simple Algebras
• General Néron desingularization and approximation
• Differential Basis, p-Basis, and Smoothness in Characteristic p > 0
• Kahler Differentials and Hilbert's Fourteenth Problem for Finite Groups
• Characterizations of Regular Local Rings of Characteristic p

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