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-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…