Details
| Original language | English |
|---|---|
| Pages (from-to) | 569-574 |
| Number of pages | 6 |
| Journal | Journal of algebra |
| Volume | 508 |
| Early online date | 6 Mar 2018 |
| Publication status | Published - 15 Aug 2018 |
| Externally published | Yes |
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].
Keywords
- Dominant dimension, Morita algebras, Tilting modules
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 508, 15.08.2018, p. 569-574.
Research output: Contribution to journal › Article › Research › 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 -