Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1433-1440 |
| Seitenumfang | 8 |
| Fachzeitschrift | Algebras and representation theory |
| Jahrgang | 26 |
| Ausgabenummer | 5 |
| Frühes Online-Datum | 9 Juni 2022 |
| Publikationsstatus | Veröffentlicht - Okt. 2023 |
| Extern publiziert | Ja |
Abstract
We present a monomial quiver algebra A having the property that the subcategory Tr(Ω 2(mod −A)) is not extension-closed. This answers a question raised by Idun Reiten.
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in: Algebras and representation theory, Jahrgang 26, Nr. 5, 10.2023, S. 1433-1440.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On the Extension-Closed Property for the Subcategory Tr(Ω²(mod −A))
AU - Böhmler, Bernhard
AU - Marczinzik, René
N1 - Funding Information: The second author gratefully acknowledges funding by the DFG (with project number 428999796). We profited from the use of the GAP-package. Open Access funding enabled and organized by Projekt DEAL. Financial interests: The second author has received funding by the DFG (with project number 428999796).
PY - 2023/10
Y1 - 2023/10
N2 - We present a monomial quiver algebra A having the property that the subcategory Tr(Ω 2(mod −A)) is not extension-closed. This answers a question raised by Idun Reiten.
AB - We present a monomial quiver algebra A having the property that the subcategory Tr(Ω 2(mod −A)) is not extension-closed. This answers a question raised by Idun Reiten.
KW - Auslander−Reiten Translate
KW - Extension-Closed Subcategory
KW - Syzygies
UR - http://www.scopus.com/inward/record.url?scp=85131596356&partnerID=8YFLogxK
U2 - 10.1007/s10468-022-10140-7
DO - 10.1007/s10468-022-10140-7
M3 - Article
VL - 26
SP - 1433
EP - 1440
JO - Algebras and representation theory
JF - Algebras and representation theory
SN - 1386-923X
IS - 5
ER -