Abstract
We construct rather short partial tilting complexes \({\dot T}\) such that quite different indecomposable right bounded complexes \({\dot C}\) have the property that any morphism from \({\dot T}\) to a shift of \({\dot C}\) is homotopic to zero. We also show that, for some \({\dot T}\) , the strategy to obtain a bounded complex \({\dot C}\) as a mutation of \({\dot T}\) is not unique.
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D’Este, G. On partial tilting modules and right bounded complexes. Ann Univ Ferrara 57, 245–260 (2011). https://doi.org/10.1007/s11565-011-0131-7
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DOI: https://doi.org/10.1007/s11565-011-0131-7