19 citations · 39 across the 6 of their papers we have counts for
7 papers
Derived categories of NDG categories
Jun-ichi Miyachi, Hiroshi Nagase}
We study -differential graded () categories and their the derived categories. First, we introduce -differential modules over an category . Then we sho…
Polygon of recollements and -complexes
Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi
We study a structure of subcategories which are called a polygon of recollements in a triangulated category. First, we study a -gon of recollements in an -Calabi-Yau tri…
Derived categories of -complexes
Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi
We study the homotopy category of -complexes of an additive category and the derived category of an abe…
Recollement of homotopy categories and Cohen-Macaulay modules
Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi
We study the homotopy category of unbounded complexes with bounded homologies and its quotient category by the homotopy category of bounded complexes. We show the existence of a re…
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…
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…