16 citations · 38 across the 12 of their papers we have counts for
21 papers
Hybrid algebras
Karin Erdmann, Andrzej Skowroński
We introduce a new class of symmetric algebras, which we call hybrid algebras. This class contains on one extreme Brauer graph algebras, and on the other extreme general weighted s…
Virtual mutations of weighted surface algebras
Thorsten Holm, Andrzej Skowroński, Adam Skowyrski
The finite-dimensional symmetric algebras over an algebraically closed field, based on surface triangulations, motivated by the theory of cluster algebras, have been extensively in…
Socle equivalences of weighted surface algebras
Jerzy Białkowski, Karin Erdmann, Adam Hajduk +2
We describe the structure and properties of the finite-dimensional symmetric algebras over an algebraically closed field which are socle equivalent to the general weighted surf…
Weighted surface algebras: general version. Corrigendum
Karin Erdmann, Andrzej Skowroński
In [arXiv:1902.04063] we generalize the original definition of weighted surface algebras in [arXiv:1703.02346] by allowing the possibility that arrows might not be part of the Gabr…
On tame strongly simply connected algebras
Stanisław Kasjan, Andrzej Skowroński
In this survey we present the criterion for tameness of strongly simply connected algebras due to Brüstle, de la Peña and Skowroński. We recall relevant concepts of representation…
Cycle-finite modules over artin algebras
Piotr Malicki, Andrzej Skowroński
We describe the representation theory of finitely generated indecomposable modules over artin algebras which do not lie on cycles of indecomposable modules involving homomorphisms…
Socle deformations of selfinjective orbit algebras of tilted type
Andrzej Skowroński, Kunio Yamagata
We survey recent development of the study of finite-dimensional selfinjective algebras over a field which are socle equivalent to selfinjective orbit algebras of tilted type.
Weighted surface algebras: general version
Karin Erdmann, Andrzej Skowroński
We introduce general weighted surface algebras of triangulated surfaces with arbitrarily oriented triangles and describe their basic properties. In particular, we prove that all th…
Self-injective algebras with hereditary stable slice
Andrzej Skowroński, Kunio Yamagata
We determine the structure of all finite-dimensional self-injective algebras over a field whose Auslander-Reiten quiver admits a hereditary stable slice.
Weakly symmetric biserial algebras
Rafał Bocian, Andrzej Skowroński
We introduce the class of generalized biserial quiver algebras and prove that they provide a complete classification of all weakly symmetric biserial algebras over an algebraically…
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…
The structure and homological properties of generalized standard Auslander-Reiten components
Piotr Malicki, Andrzej Skowroński
We describe the structure and homological properties of arbitrary generalized standard Auslander-Reiten components of artin algebras. In particular, we prove that for all but finit…
Algebras of generalized quaternion type
Karin Erdmann, Andrzej Skowro'nski
We introduce and study the algebras of generalized quaternion type, which are natural generalizations of algebras which occurred in the study of blocks of group algebras with gener…
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.
Weighted Surface Algebras
Karin Erdmann, Andrzej Skowroński
A finite-dimensional algebra over an algebraically closed field is called periodic if it is periodic under the action of the syzygy operator in the category of bimod…
The Representation Dimension of a Selfinjective Algebra of Euclidean Type
Ibrahim Assem, Andrzej Skowroński, Sonia Trepode
We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its modul…
Finite cycles of indecomposable modules
Piotr Malicki, José Antonio de la Peña, Andrzej Skowroński
We solve a long standing open problem concerning the structure of finite cycles in the category mod A of finitely generated modules over an arbitrary artin algebra A, that is, the…
Cycle-finite module categories
Piotr Malicki, José A. de la Peña, Andrzej Skowroński
We describe the structure of module categories of finite dimensional algebras over an algebraically closed field for which the cycles of nonzero nonisomorphisms between indecomposa…
Classification of modules not lying on short chains
Alicja Jaworska, Piotr Malicki, Andrzej Skowroński
We give a complete description of finitely generated modules over artin algebras which are not the middle of a short chain of modules, using injective and tilting modules over here…
Auslander-Reiten Components determined by their Composition Factors
Alicja Jaworska, Piotr Malicki, Andrzej Skowroński
We provide sufficient conditions for a component of the Auslander-Reiten quiver of an artin algebra to be determined by the composition factors of its indecomposable modules.
Algebras whose Tits form accepts a maximal omnipresent root
José A. de la Peña, Andrzej Skowroński
Let k be an algebraically closed field and A be a finite-dimensional associative basic k-algebra of the form A=kQ/I where Q is a quiver without oriented cycles or double arrows and…