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arxiv: 1801.06072 · v1 · pith:GNBNPMEPnew · submitted 2018-01-18 · 🧮 math.RT

On a conjecture about Morita algebras

classification 🧮 math.RT
keywords 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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