1 citations · 1 across the 4 of their papers we have counts for
7 papers
-symmetric algebras I
Grzegorz Bobiński, Jan Schröer
We study various symmetry conditions related to the Auslander-Reiten formula for finite-dimensional algebras. In particular, we define a new class of algebras which we call -sym…
On the additivity of projective presentations of maximal rank
Grzegorz Bobiński, Jan Schröer
We study projective presentations of finite-dimensional modules over finite-dimensional algebras. We discuss if projective presentations of maximal rank behave additively. More pre…
Generically -regular irreducible components of module varieties
Grzegorz Bobiński, Jan Schröer
In the representation theory of finite-dimensional algebras, the study of projective presentations of maximal rank is closely related to the study of generically -regular irredu…
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…
Algebras with irreducible module varieties II: Two vertex case
Grzegorz Bobiński, Jan Schröer
We call a finite-dimensional K-algebra A geometrically irreducible if for all d all connected components of the affine scheme of d-dimensional A-modules are irreducible. We prove t…
Algebras with irreducible module varieties I
Grzegorz Bobiński, Jan Schröer
We call a finite-dimensional K-algebra A geometrically irreducible if for all d, all connected components of the affine scheme of d-dimensional A-modules are irreducible. We show t…
Normality of orbit closures for directing modules over tame algebras
Grzegorz Bobiński, Grzegorz Zwara
We show that the orbit closures for directing modules over tame algebras are normal and Cohen-Macaulay. The proof is based on deformations to normal toric varieties.