Extension, restriction and picard-brauer exact sequences for torsion theories

DOI10.1080/00927879808826131zbMath0902.18004OpenAlexW2140548921MaRDI QIDQ4380604

Emilio Villanueva Nóvoa, Ramón González Rodríguez

Publication date: 10 December 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826131

zbMATH Keywords

torsion theoriesBrauer groupsPicard groupsextensionrestrictioncompatibilityGrothendieck categoryidempotent kernel endofunctors

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Brauer groups of schemes (14F22) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Torsion theory for commutative rings (13D30)

Cites Work

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• Relatively Noetherian rings, localization and sheaves. II: Structure sheaves
• Gabriel filters in Grothendieck categories
• Exact sequences for relative Brauer groups and Picard groups
• The Brauer group of a ringed space
• -Compatible torsion theories. The sheavesPic(Σ) andB(Σ)

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