Witt's theorem in abstract geometric algebra

DOI10.1007/s11587-010-0074-9zbMath1211.18012OpenAlexW2022454977MaRDI QIDQ993746

Patrice P. Ntumba

Publication date: 20 September 2010

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-010-0074-9

zbMATH Keywords

free subpresheaves of modulesorthosymmetric \({\mathcal{A}}\)-bilinear formspre-hyperbolic free sub-\({\mathcal A}\)-modulessheaf of \({\mathcal{A}}\)-radicalsstrongly isotropic (non-isotropic) sub-\({\mathcal {A}}\)-modulesweakly isotropic (non-isotropic) sub-\({\mathcal {A}}\)-modules

Mathematics Subject Classification ID

General module theory in associative algebras (16D10) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Cites Work

• Cartan-Dieudonné theorem for \({\mathcal {A}}\)-modules
• Geometry and physics today
• \(\mathcal{A}\)-invariance: An axiomatic approach to quantum relativity
• 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
• Space-time foam dense singularities and de Rham cohomology
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