Invariance properties of automorphism groups of algebras.

Saorín, Manuel

Displaying similar documents to “Invariance properties of automorphism groups of algebras.”

On selfinjective algebras of Euclidean type

Helmut Lenzing, Andrzej Skowroński (1999)

Colloquium Mathematicae

Similarity:

The pure-projective ideal of a module category

Piotr Dowbor (1996)

Colloquium Mathematicae

Similarity:

Componentwise injective models of functors to DGAs

Marek Golasiński (1997)

Colloquium Mathematicae

Similarity:

The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.

Degenerations for modules over representation-finite selfinjective algebras

Grzegorz Zwara (1998)

Colloquium Mathematicae

Similarity:

Cartan matrices of selfinjective algebras of tubular type

Jerzy Białkowski (2004)

Open Mathematics

Similarity:

The Cartan matrix of a finite dimensional algebra A is an important combinatorial invariant reflecting frequently structural properties of the algebra and its module category. For example, one of the important features of the modular representation theory of finite groups is the nonsingularity of Cartan matrices of the associated group algebras (Brauer’s theorem). Recently, the class of all tame selfinjective algebras having simply connected Galois coverings and the stable Auslander-Reiten...

On artin algebras with almost all indecomposable modules of projective or injective dimension at most one

Andrzej Skowroński (2003)

Open Mathematics

Similarity:

Let A be an artin algebra over a commutative artin ring R and ind A the category of indecomposable finitely generated right A-modules. Denote $ℒ_{A}$ to be the full subcategory of ind A formed by the modules X whose all predecessors in ind A have projective dimension at most one, and by $ℛ_{A}$ the full subcategory of ind A formed by the modules X whose all successors in ind A have injective dimension at most one. Recently, two classes of artin algebras A with $ℒ_{A} \cup ℛ_{A}$ co-finite in ind A, quasi-tilted...

On a family of vector space categories

Grzegorz Bobiński, Andrzej Skowroński (2003)

Open Mathematics

Similarity:

In continuation of our earlier work [2] we describe the indecomposable representations and the Auslander-Reiten quivers of a family of vector space categories playing an important role in the study of domestic finite dimensional algebras over an algebraically closed field. The main results of the paper are applied in our paper [3] where we exhibit a wide class of almost sincere domestic simply connected algebras of arbitrary large finite global dimensions and describe their Auslander-Reiten...

Tame minimal non-polynomial growth simply connected algebras

Rainer Nörenberg, Andrzej Skowroński (1997)

Colloquium Mathematicae

Similarity:

On the numbers of discrete indecomposable modules over tame algebras

Andrzej Skowroński, Grzegorz Zwara (1997)

Colloquium Mathematicae

Similarity:

Partial flag varieties and preprojective algebras

Christof Geiß, Bernard Leclerc, Jan Schröer (2008)

Annales de l’institut Fourier

Similarity:

Let $Λ$ be a preprojective algebra of type $A, D, E$ , and let $G$ be the corresponding semisimple simply connected complex algebraic group. We study rigid modules in subcategories $Sub Q$ for $Q$ an injective $Λ$ -module, and we introduce a mutation operation between complete rigid modules in $Sub Q$ . This yields cluster algebra structures on the coordinate rings of the partial flag varieties attached to $G$ .