English

On a conjecture about Morita algebras

Representation Theory 2018-01-19 v1

Abstract

We give an example of a Morita algebra AA with a tilting module TT such that the algebra EndA(T)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 \cite{CX}.

Keywords

Cite

@article{arxiv.1801.06072,
  title  = {On a conjecture about Morita algebras},
  author = {Bernhard Boehmler and Rene Marczinzik},
  journal= {arXiv preprint arXiv:1801.06072},
  year   = {2018}
}
R2 v1 2026-06-22T23:48:54.257Z