Extensionless modules over tame hereditary algebras
Field-Dependent Homological Behavior of finite dimensional algebras.
Full matrix algebras with structure systems
We study associative, basic n × n𝔸-full matrix algebras over a field, whose multiplications are determined by structure systems 𝔸, that is, n-tuples of n × n matrices with certain properties.
Functors preserving tameness
Generalized Brauer tree orders
Generalized one-point extensions.
Green walks in a hypergraph
Group rings, Hecke orders, quasi-hereditary orders, cellular orders and deformations.
Hall algebras and quantum groups.
Hall algebras, hereditary algebras and quantum groups.
Hochschild cohomology of Auslander algebras
Indecomposable representations of orders
Induced modules of strongly group-graded algebras
Various results on the induced representations of group rings are extended to modules over strongly group-graded rings. In particular, a proof of the graded version of Mackey's theorem is given.
Integral schur algebras for GL2.
Isomorphisms between representations of algebras.
In this paper we study the precise relation between two representations of a given split finite basic dimensional algebra A as a factor of the free path algebra over its quiver (A). After defining the notion of strongly acyclic quiver, we apply the results obtained to develop a method of calculating the group Aut(A)/Inn(A) in the case when (A) is strongly acyclic.
Lattices over curve singularities with large conductor.
Limits of tilting modules
We study the problem of when a direct limit of tilting modules is still a tilting module.
Locally adequate semigroup algebras
We build up a multiplicative basis for a locally adequate concordant semigroup algebra by constructing Rukolaĭne idempotents. This allows us to decompose the locally adequate concordant semigroup algebra into a direct product of primitive abundant [...] 0-J*-simple semigroup algebras. We also deduce a direct sum decomposition of this semigroup algebra in terms of the [...] ℛ*-classes of the semigroup obtained from the above multiplicative basis. Finally, for some special cases, we provide a description...
On a simplicial complex associated with tilting modules.
On Auslander–Reiten components for quasitilted algebras
An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver of a quasitilted algebra A.