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Local cohomology in Grothendieck categories

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Publication:5133873
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DOI10.1142/S0219498820502229zbMath1455.18005arXiv1903.02607OpenAlexW2979983300WikidataQ114614522 ScholiaQ114614522MaRDI QIDQ5133873

Fatemeh Savoji, Reza Sazeedeh

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02607

zbMATH Keywords

local cohomologyGrothendieck categorylocalizing subcategorypreradical functor


Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80)




Cites Work

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  • Classification of categorical subspaces of locally noetherian schemes
  • Classifying Serre subcategories via atom spectrum
  • Monoform objects and localization theory in abelian categories
  • Fully bounded Grothendieck categories. Part I: Locally noetherian categories
  • Localization of triangulated categories and derived categories
  • Finiteness of the number of minimal atoms in Grothendieck categories
  • Specialization orders on atom spectra of Grothendieck categories
  • Triangulated Categories
  • HEREDITARY TORSION THEORIES OF A LOCALLY NOETHERIAN GROTHENDIECK CATEGORY
  • Abstract local cohomology functors
  • Des catégories abéliennes
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