Functors and morphisms determined by subcategories

DOI10.1007/s10485-019-09585-7zbMath1453.18001arXiv1710.08966OpenAlexW2982553025MaRDI QIDQ2182785

Shijie Zhu

Publication date: 26 May 2020

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08966

zbMATH Keywords

almost split sequencesKrull-Schmidt categoriesmorphisms determined by objectsstrongly locally finite quivers

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Definitions and generalizations in theory of categories (18A05)

Cites Work

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• Morphisms determined by objects and flat covers
• Krull-Schmidt categories and projective covers
• The Auslander bijections and universal extensions
• A note on morphisms determined by objects
• Continuous cluster categories. I
• On the non-existence of right almost split maps
• Morphisms determined by objects: the case of modules over Artin algebras.
• Noetherian hereditary abelian categories satisfying Serre duality
• Report on locally finite triangulated categories
• The generalized Auslander–Reiten duality on an exact category
• Representation theory of strongly locally finite quivers
• Morphisms Determined by Objects in Triangulated Categories
• The Auslander bijections: how morphisms are determined by modules
• Algebras of Derived Dimension Zero

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