scientific article; zbMATH DE number 695322

zbMath0815.16001MaRDI QIDQ4314635

José L. Bueso, Alain Verschoren, Pascual Jara

Publication date: 24 November 1994

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zbMATH Keywords

hereditary torsion theoriescentral extensionsZariski topologylocalizationsecond layer conditioncompatibilityFBN ringsprime spectrumringed spacesArtin-Rees propertystructure sheaflocalization functorsstrongly normalizing extensionsstable radicalslocalizations at prime idealscentralizing extensionradical functorsnoncommutative analogssheaf-theoretic methods in noncommutative ring theorystable symmetric radicalsstrongly normalizing extensionsymmetric radicals

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Associative rings of functions, subdirect products, sheaves of rings (16S60) Module categories in associative algebras (16D90) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) General radicals and associative rings (16N80) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (11)

Relatively Noetherian rings, localization and sheaves. I: The relative second layer condition ⋮ Relatively Noetherian rings, localization and sheaves. II: Structure sheaves ⋮ Structure sheaves and noncommutative topologies ⋮ Relatively noetherian rings, localization and sheaves part iii:functorial behaviour ⋮ On compact generation of deformed schemes ⋮ Cohomology of exact categories and (non-)additive sheaves ⋮ Non-commutative deformations and quasi-coherent modules ⋮ Unnamed Item ⋮ Algebroid prestacks and deformations of ringed spaces ⋮ Flat epimorphisms and a generalized Kaplansky ideal transform ⋮ An example of Bernstein duality

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