Involutions on sheaves of endomorphisms of locally finitely presented \(\mathscr{O}_X\)-modules

DOI10.1007/s00009-021-01924-0zbMath1486.16020OpenAlexW4220749661MaRDI QIDQ2117369

Richard Ng'ambi, Patrice P. Ntumba

Publication date: 21 March 2022

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

Full work available at URL: https://doi.org/10.1007/s00009-021-01924-0

zbMATH Keywords

Brauer equivalenceinvolutionAzumaya \(R\)-algebra\(O_X\)-module\(R\)-progeneratorMorita equivalence.

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Sheaves in algebraic geometry (14F06)

Cites Work

• Théorie de la descente et algèbres d'Azumaya
• On the commutativity of the Clifford and ``extension of scalars functors
• Separable algebras over commutative rings
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Separable Algebras
• Categories and Sheaves
• Algebraic geometry and commutative algebra
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