Abstract
We prove that every tilting module of projective dimension at most one is of finite type, namely that its associated tilting class is the Ext-orthogonal of a family of finitely presented modules of projective dimension at most one.
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Bazzoni, S., Herbera, D. One Dimensional Tilting Modules are of Finite Type. Algebr Represent Theor 11, 43–61 (2008). https://doi.org/10.1007/s10468-007-9064-3
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DOI: https://doi.org/10.1007/s10468-007-9064-3