SIMPLE-MINDED SYSTEMS IN STABLE MODULE CATEGORIES

DOI10.1093/QMATH/HAR009zbMath1260.16012arXiv1009.1427OpenAlexW2963032944MaRDI QIDQ2907040

Yuming Liu, Steffen Koenig

Publication date: 5 September 2012

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1427

zbMATH Keywords

derived categoriesAuslander-Reiten translatesArtin algebrasstable equivalencesArtin ringsstable Grothendieck groupssimple-minded systemsdirect summands of finite direct sums of modulesgenerating sets of stable module categoriesHeller functorsorthogonal stable bricksstable Loewy lengthstriangular algebras, Nakayama algebras, Auslander-Reiten conjecture

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of associative Artinian rings (16G10) Bimodules in associative algebras (16D20) Abelian categories, Grothendieck categories (18E10) Derived categories and associative algebras (16E35)

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