Relatively Noetherian rings, localization and sheaves. II: Structure sheaves

DOI10.1007/BF00961454zbMath0834.16033MaRDI QIDQ1327522

C. Vidal Martin, Alain Verschoren

Publication date: 12 July 1994

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

strong second layer conditionlocalizationsglobal sectionsstructure sheavesrelative Ore setssheaf constructions in noncommutative algebra

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Localization and associative Noetherian rings (16P50) Localization of categories, calculus of fractions (18E35)

Related Items

Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition ⋮ Extension, restriction and picard-brauer exact sequences for torsion theories ⋮ On structure sheaves of non-commutative rings

Cites Work

• Fully bounded Grothendieck categories. Part I: Locally noetherian categories
• Stable torsion radicals over FBN rings
• Prime spectra in non-commutative algebra
• Stable torsion and the spectrum of an FBN ring
• Strongly normalizing extensions
• Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition
• The torsion theory at a prime ideal of a right Noetherian ring
• Strong stability and sheaves
• On compatibility
• Graded p.i. Rings and nonccmmutative projective schemes
• Injective modules and classical localization in Noetherian rings
• Rings and modules of quotients
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