Details
| Original language | English |
|---|---|
| Pages (from-to) | 1433-1440 |
| Number of pages | 8 |
| Journal | Algebras and representation theory |
| Volume | 26 |
| Issue number | 5 |
| Early online date | 9 Jun 2022 |
| Publication status | Published - Oct 2023 |
| Externally published | Yes |
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.
Keywords
- Auslander−Reiten Translate, Extension-Closed Subcategory, Syzygies
ASJC Scopus subject areas
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In: Algebras and representation theory, Vol. 26, No. 5, 10.2023, p. 1433-1440.
Research output: Contribution to journal › Article › Research › 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 -