27 citations · 88 across the 9 of their papers we have counts for
14 papers
Silting and Tilting for Weakly Symmetric Algebras
Jenny August, Alex Dugas
If A is a finite-dimensional symmetric algebra, then it is well-known that the only silting complexes in are the tilting complexes. In this note we i…
Some algebras that are not silting connected
Alex Dugas
We give examples of finite-dimensional algebras for which the silting objects in $K^b(\mbox{proj-}A)$ are not connected by any sequence of (possibly reducible) silting mutation…
Gradable modules over artinian rings
Alex Dugas
Let be a -graded artin algebra. Two classical results of Gordon and Green state that if has only finitely many indecomposable gradable modules, up to isomorphis…
Some extensions of theorems of Knörrer and Herzog-Popescu
Alex S. Dugas, Graham J. Leuschke
A construction due to Knörrer shows that if is a maximal Cohen-Macaulay module over a hypersurface defined by , then the first syzygy of decomposes as the direct…
Strongly tilting truncated path algebras
A. Dugas, B. Huisgen-Zimmermann
For any truncated path algebra , we give a structural description of the modules in the categories and , con…
Truncated path algebras are homologically transparent
A. Dugas, B. Huisgen-Zimmermann, J. Learned
It is shown that path algebras modulo relations of the form , where is a quiver, a coefficient field, and the ideal generated by all paths of a gi…
Stable auto-equivalences for local symmetric algebras
Alex Dugas
We construct nontrivial auto-equivalences of stable module categories for elementary, local symmetric algebras over a field k. These auto-equivalences are modeled after the spheric…
Torsion pairs and simple-minded systems in triangulated categories
Alex Dugas
Let T be a Hom-finite triangulated Krull-Schmidt category over a field k. Inspired by a definition of Koenig and Liu, we say that a family S of pairwise orthogonal objects in T wit…
On periodicity in bounded projective resolutions
Alex Dugas
Let A be a self-injective algebra over an algebraically closed field k. We show that if an A-module M of complexity one has an open orbit in the variety of d-dimensional A-modules,…
Tilting mutation of weakly symmetric algebras and stable equivalence
Alex Dugas
We consider tilting mutations of a weakly symmetric algebra at a subset of simple modules, as recently introduced by T. Aihara. These mutations are defined as the endomorphism ring…
Periodicity of d-cluster-tilted algebras
Alex Dugas
It is well-known that any maximal Cohen-Macaulay module over a hypersurface has a periodic free resolution of period 2. Auslander, Reiten and Buchweitz have used this periodicity t…
A construction of derived equivalent pairs of symmetric algebras
Alex Dugas
Recently, Hu and Xi have exhibited derived equivalent endomorphism rings arising from (relative) almost split sequences as well as AR-triangles in triangulated categories. We prese…
Resolutions of mesh algebras: periodicity and Calabi-Yau dimensions
Alex Dugas
A triangulated category is said to be Calabi-Yau of dimension d if the dth power of its suspension is a Serre functor. We determine which stable categories of self-injective algebr…
Periodic resolutions and self-injective algebras of finite type
Alex Dugas
We say that an algebra A is periodic if it has a periodic projective resolution as an (A,A)-bimodule. We show that any self-injective algebra of finite representation type is perio…