Module categories of small radical nilpotency

DOI10.1007/S10468-023-10211-3OpenAlexW4385221738MaRDI QIDQ6151720

You Qi Yin, Shiping Liu

Publication date: 11 March 2024

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-023-10211-3

zbMATH Keywords

hereditary algebrasalmost split sequencesArtin algebrasAuslander-Reiten quiverNakayama algebrasrepresentation-finite algebrasdegrees of irreducible maps

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Derived categories and associative algebras (16E35)

Cites Work

• A characterization of finite Auslander-Reiten quivers
• Covering spaces in representation-theory
• Degrees and composition of irreducible morphisms in almost pre-sectional paths.
• On categories of indecomposable modules. I
• A Note on the Radical of a Module Category
• Degrees of Irreducible Maps and the Shapes of Auslander-Reiten Quivers
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• On irreducible maps
• Almost split sequences for non-regular modules
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