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math.RA2002
Recollement and Tilting Complexes
Jun-ichi Miyachi
First, we study recollement of a derived category of unbounded complexes of modules induced by a partial tilting complex. Second, we give equivalent conditions for P^{centerdot} to…
math.RA2000
On t-structures and Torsion Theories Induced by Compact Objects
Mitsuo Hoshino, Yoshiaki Kato, Jun-ichi Miyachi
First, we show that a compact object in a triangulated category, which satisfies suitable conditions, induces a -structure. Second, in an abelian category we show that a com…
math.RA1999
Derived Picard Groups of Finite Dimensional Hereditary Algebras
Jun-ichi Miyachi, Amnon Yekutieli
Let A be an algebra over a field k, and denote by D^b(Mod A) the bounded derived category of left A-modules. The derived Picard group DPic_k(A) is the group of triangle auto-equiva…