Cartan-Dieudonné theorem for \({\mathcal {A}}\)-modules

DOI10.1007/s00009-010-0042-3zbMath1237.14029OpenAlexW2086776135MaRDI QIDQ619621

Patrice P. Ntumba

Publication date: 25 January 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0042-3

zbMATH Keywords

\({\mathcal {A}}\)-modulesconvenient \({\mathcal {A}}\)-moduleskernels of pairings of \({\mathcal {A}}\)-modulesorthogonal symmetriespairings of \({\mathcal {A}}\)-modulesPID \({\mathbb {C}}\)-algebra sheafweakly convenient pairing of \({\mathcal {A}}\)-modules

Mathematics Subject Classification ID

Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Presheaves and sheaves in general topology (54B40)

Related Items

The symplectic Gram-Schmidt theorem and fundamental geometries for A-modules ⋮ Witt's theorem in abstract geometric algebra

Cites Work

• On a sheaf-theoretic version of the Witt's decomposition theorem. A Lagrangian perspective
• Fundamentals for symplectic \(\mathcal{A}\)-modules. Affine Darboux theorem
• Pairings of Sheaves of A-Modules
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