16 citations · 44 across the 11 of their papers we have counts for
11 papers
Examples of finite dimensional algebras which do not satisfy the derived Jordan--Hölder property
Qunhua Liu, Dong Yang
We construct a matrix algebra from two given finite dimensional elementary algebras and and give some sufficient conditions on and under which the derived…
Recollements and stratifying ideals
Lidia Angeleri H\" ugel, Steffen Koenig, Qunhua Liu +1
Surjective homological epimorphisms with stratifying kernel can be used to construct recollements of derived module categories. These `stratifying' recollements are derived from re…
Stratifications of algebras with two simple modules
Qunhua Liu, Dong Yang
Let be a finite-dimensional algebra with two simple modules. It is shown that if the derived category of admits a stratification with simple factors being the base field $k…
Ladders and simplicity of derived module categories
Lidia Angeleri H\" ugel, Steffen Koenig, Qunhua Liu +1
Recollements of derived module categories are investigated, using a new technique, ladders of recollements, which are mutation sequences. The position in the ladder is shown to con…
Glueing silting objects
Qunhua Liu, Jorge Vitoria, Dong Yang
Recent results by Keller and Nicol{á}s and by Koenig and Yang have shown bijective correspondences between suitable classes of t-structures and co-t-structures with certain objects…
Jordan Hölder theorems for derived module categories of piecewise hereditary algebras
Lidia Angeleri Hügel, Steffen Koenig, Qunhua Liu
A Jordan Hölder theorem is established for derived module categories of piecewise hereditary algebras. The resulting composition series of derived categories are shown to be indepe…