Abelian Subcategories Closed Under Extensions:K-Theory and Decompositions

DOI10.1080/00927870601115716zbMath1177.18007arXivmath/0507320OpenAlexW2127411241MaRDI QIDQ3435925

Sunil K. Chebolu

Publication date: 8 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0507320

zbMATH Keywords

Grothendieck groupswide subcategoryKrull-Schmidt decompositionabelian subcategoryregular coherent rings

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Abelian categories, Grothendieck categories (18E10) Grothendieck groups (category-theoretic aspects) (18F30) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Cites Work

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• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• Decomposing thick subcategories of the stable module category
• Classifying subcategories of modules
• Refining thick subcategory theorems

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