All tilting modules are of finite type

Bazzoni, Silvana; Šťovíček, Jan

doi:10.1090/S0002-9939-07-08911-3

All tilting modules are of finite type
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by Silvana Bazzoni and Jan Šťovíček PDF

Proc. Amer. Math. Soc. 135 (2007), 3771-3781 Request permission

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.

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