On a conjecture about Morita algebras
classification
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algebramoritaconjecturealgebraschencitecounterexampledimension
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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 \cite{CX}.
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