Coherent quivers

Coherent quivers

Noetherian quivers were studied and classified in [ 4 ], but nothing is known about the coherence of quivers. The purpose of this paper is to prove that any acyclic quiver Q is coherent, or, in other words, that for any coherent ring R the category of representations of Q by modules is locally coher...

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Veröffentlicht in:Periodica mathematica Hungarica 2023-06, Vol.86 (2), p.413-421
Hauptverfasser: Bennis, Driss, Rozas, J. R. García, Oyonarte, Luis, Roudi, Adnane
Format: Artikel
Sprache:eng
Schlagworte:
Coherence
Mathematics
Mathematics and Statistics
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Zusammenfassung:Noetherian quivers were studied and classified in [ 4 ], but nothing is known about the coherence of quivers. The purpose of this paper is to prove that any acyclic quiver Q is coherent, or, in other words, that for any coherent ring R the category of representations of Q by modules is locally coherent.
ISSN:0031-5303
1588-2829
DOI:10.1007/s10998-022-00484-4