On injective modules over Azumaya algebras over locally Noetherian schemes.

DOI10.1007/S00229-006-0046-2zbMath1121.16018OpenAlexW1984450264WikidataQ114230758 ScholiaQ114230758MaRDI QIDQ858590

Stefan Gille

Publication date: 11 January 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-006-0046-2

zbMATH Keywords

dualizing complexesAzumaya algebrasinjective modulescoherent Hermitian Witt groupslocally Noetherian schemesquasi-coherent bimodules

Mathematics Subject Classification ID

Witt groups of rings (19G12) Projectives and injectives (category-theoretic aspects) (18G05) Local cohomology and commutative rings (13D45) Syzygies, resolutions, complexes in associative algebras (16E05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Schemes and morphisms (14A15)

Related Items (1)

A Gersten-Witt complex for hermitian Witt groups of coherent algebras over schemes II: Involution of the second kind

Cites Work

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• Injective modules over Noetherian rings
• Dualizing complexes over noncommutative graded algebras
• Théorie de la descente et algèbres d'Azumaya
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Sur quelques points d'algèbre homologique
• A Gersten–Witt complex for hermitian Witt groups of coherent algebras over schemes, I: Involution of the first kind
• Categories and Sheaves

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