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# ON t-STRUCTURES AND TORSION THEORIES INDUCED BY COMPACT OBJECTS

@inproceedings{Kato2008ONTA, title={ON t-STRUCTURES AND TORSION THEORIES INDUCED BY COMPACT OBJECTS}, author={Yoshiaki Kato and Jun-ichi Miyachi and First}, year={2008} }

- Published 2008

First, we show that a compact object C in a triangulated category, which satisfies suitable conditions, induces a t-structure. Second, in an abelian category we show that a complex P of small projective objects of term length two, which satisfies suitable conditions, induces a torsion theory. In the case of module categories, using a torsion theory, we give equivalent conditions for P to be a tilting complex. Finally, in the case of artin algebras, we give one to one correspondence between… CONTINUE READING