6 papers
Tame symmetric algebras of period four with small Gabriel quivers
Karin Erdmann, Alicja Jaworska-Pastuszak, Adam Skowyrski
The tame symmetric algebras of period four, TSP4 algebras for short, form an important class of algebras, with interesting links to various branches of modern algebra. The study of…
On Krull-Gabriel dimension of weighted surface algebras
Karin Erdmann, Alicja Jaworska-Pastuszak, Grzegorz Pastuszak
We determine the Krull-Gabriel dimension of weighted surface algebras, a class of algebras which recently appeared in the context of classification of tame symmetric periodic algeb…
On one-parameter families of hermiticity-preserving superoperators which are not positive
Grzegorz Pastuszak, Alicja Jaworska-Pastuszak, Takeo Kamizawa +1
A one-parameter family of hermiticity-preserving superoperators is a time-dependent family $\{Φ_{t}\colon\mathbb{M}_{n}(\mathbb{C})\rightarrow\mathbb{M}_{n}(\mathbb{C})\}_{t\in\mat…
On Krull-Gabriel dimension of cluster repetitive categories and cluster-tilted algebras
Alicja Jaworska-Pastuszak, Grzegorz Pastuszak, Grzegorz Bobiński
Assume that is an algebraically closed field and denote by the Krull-Gabriel dimension of , where is a locally bounded -category (or a bound quiver -algebr…
Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules
Alicja Jaworska-Pastuszak, Marta Kwiecień, Andrzej Skowroński
We give a complete description of finite dimensional selfinjective algebras over an algebraically closed field whose Auslander-Reiten quiver admits a generalized standard family of…
Selfinjective algebras without short cycles of indecomposable modules
Alicja Jaworska-Pastuszak, Andrzej Skowroński
We describe the structure of finite dimensional selfinjective algebras over an arbitrary field without short cycles of indecomposable modules.