Finiteness of the number of minimal atoms in Grothendieck categories

DOI10.1016/j.jalgebra.2019.03.003zbMath1460.18005arXiv1503.02116OpenAlexW1766226501MaRDI QIDQ1732893

Ryo Kanda

Publication date: 25 March 2019

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

Full work available at URL: https://arxiv.org/abs/1503.02116

zbMATH Keywords

Grothendieck categoryminimal atomcompressible objectNoetherian generator

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10) Noetherian rings and modules (associative rings and algebras) (16P40) Module categories and commutative rings (13C60)

Related Items (6)

Local cohomology in Grothendieck categories ⋮ Extension groups between atoms in abelian categories ⋮ Integrality of Noetherian Grothendieck categories ⋮ Well-closed subschemes of noncommutative schemes ⋮ Construction of Grothendieck categories with enough compressible objects using colored quivers ⋮ Non-exactness of direct products of quasi-coherent sheaves

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