Tilting Modules and Tilting Torsion Theories

  title={Tilting Modules and Tilting Torsion Theories},
  author={Riccardo Colpi and Jan Trlifaj},
  journal={Journal of Algebra},
Abstract We generalize basic results about classical tilting modules and partial tilting modules to the infinite dimensional case, over an arbitrary ring R. The methods employed combine classical techniques of representation theory of finite dimensional algebras with new techniques of the theory of ∗-modules. Using a generalization of the Bongartz lemma, we characterize tilting torsion theories in Mod-R, i.e., torsion theories induced by (infinitely generated) tilting modules. We investigate… 
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