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All tilting modules are of finite type |
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| Authors: | Silvana Bazzoni Jan Stoví cek |
| Institution: | Dipartimento di Matematica Pura e Applicata, Universitá di Padova, Via Trieste 63, 35121 Padova, Italy ; Katedra algebry MFF UK, Sokolovská 83, 186 75 Praha 8, Czech Republic |
| Abstract: | We prove that any infinitely generated tilting module is of finite type, namely that its associated tilting class is the Ext-orthogonal of a set of modules possessing a projective resolution consisting of finitely generated projective modules. |
| Keywords: | Tilting modules cotorsion pairs |
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