Classifying Serre subcategories of finitely presented modules

DOI10.1090/S0002-9939-07-08844-2zbMath1133.13007OpenAlexW2126262376MaRDI QIDQ5438445

Grigory Garkusha, M. Y. Prest

Publication date: 23 January 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08844-2

zbMATH Keywords

thick subcategoryperfect complexZiegler and Zariski spectra

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Chain complexes (category-theoretic aspects), dg categories (18G35) Injective and flat modules and ideals in commutative rings (13C11)

Related Items

Classifying thick subcategories of the stable category of Cohen-Macaulay modules, Classifying Serre subcategories via atom spectrum, Cohomological dimensions of specialization-closed subsets and subcategories of modules, Reconstructing projective schemes from Serre subcategories, Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar), Classifying finite localizations of quasicoherent sheaves, R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES

Cites Work

• The spectrum of a locally coherent category
• Model theory of modules
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Classifying subcategories of modules
• The Ziegler Spectrum of a Locally Coherent Grothendieck Category
• Prime Ideal Structure in Commutative Rings
• Des catégories abéliennes
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