Exact Krull-Schmidt categories with finitely many indecomposables

DOI10.1007/s00209-021-02710-0zbMath1495.18012OpenAlexW3184937425MaRDI QIDQ2070952

Wolfgang Rump

Publication date: 25 January 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-021-02710-0

zbMATH Keywords

Gorenstein ringexact categoryisolated singularityalmost split sequencenon-commutative resolutionGorenstein projectivetriadic categoryrepresentation-finite\(L\)-functorCohen-Macaulay order

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Singularities of surfaces or higher-dimensional varieties (14J17) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

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