Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 569-574 |
Seitenumfang | 6 |
Fachzeitschrift | Journal of algebra |
Jahrgang | 508 |
Frühes Online-Datum | 6 März 2018 |
Publikationsstatus | Veröffentlicht - 15 Aug. 2018 |
Extern publiziert | Ja |
Abstract
We give an example of a Morita algebra A with a tilting module T such that the algebra End A(T) has dominant dimension at least two but is not a Morita algebra. This provides a counterexample to a conjecture by Chen and Xi from [5].
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of algebra, Jahrgang 508, 15.08.2018, S. 569-574.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On a conjecture about Morita algebras
AU - Böhmler, Bernhard
AU - Marczinzik, René
N1 - Publisher Copyright: © 2018 Elsevier Inc.
PY - 2018/8/15
Y1 - 2018/8/15
N2 - We give an example of a Morita algebra A with a tilting module T such that the algebra End A(T) has dominant dimension at least two but is not a Morita algebra. This provides a counterexample to a conjecture by Chen and Xi from [5].
AB - We give an example of a Morita algebra A with a tilting module T such that the algebra End A(T) has dominant dimension at least two but is not a Morita algebra. This provides a counterexample to a conjecture by Chen and Xi from [5].
KW - Dominant dimension
KW - Morita algebras
KW - Tilting modules
UR - http://www.scopus.com/inward/record.url?scp=85042930063&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1801.06072
DO - 10.48550/arXiv.1801.06072
M3 - Article
VL - 508
SP - 569
EP - 574
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -