Results 61 to 70 of about 2,837 (110)
Auslander-Reiten quivers of local, orders of finite lattice type
Manuscripta Mathematica, 1987 Let R be a complete d.v.r. with quotient field K and \(\Lambda\) a representation-finite local R-order in a semisimple K-algebra A. The classification of Auslander-Reiten quivers \({\mathcal A}(\Lambda)\) of such \(\Lambda\) is completed in this paper. Previously, the author classified \({\mathcal A}(\Lambda)\) for \(\Lambda\) Gorenstein, while \textit{
openaire +1 more source
Classification of discrete derived categories
Open Mathematics, 2004 Bobiński Grzegorz +2 more
doaj +1 more source
Introduction to τ-tilting theory. [PDF]
Proc Natl Acad Sci U S A, 2014 Iyama O, Reiten I.
europepmc +1 more source
Domestic iterated one-point extensions of algebras by two-ray modules
Open Mathematics, 2003 Bobiński Grzegorz, Skowroński Andrzej
doaj +1 more source
The Auslander-Reiten quiver of the category of m−periodic complexes
Journal of Pure and Applied AlgebraLet $\mathcal{A}$ be an additive $k-$category and $\mathbf{C}_{\equiv m}(\mathcal{A})$ be the category of $m-$periodic objects. For any integer $m>1$, we study conditions under which the compression functor ${\mathcal F}_m :\mathbf{C}^{b}(\mathcal{A}) \rightarrow \mathbf{C}_{\equiv m}(\mathcal{A})$ preserves or reflects irreducible morphisms ...
Claudia Chaio +3 more
openaire +4 more sources
On a family of vector space categories
Open Mathematics, 2003 Bobiński Grzegorz, Skowroński Andrzej
doaj +1 more source
A categorification of combinatorial Auslander-Reiten quivers
We provide a categorification of Oh and Suh's combinatorial Auslander-Reiten quivers in the simply laced case. We work within the perfectly valued derived category $\mathrm{pvd}(Π_Q)$ of the 2-dimensional Ginzburg dg algebra of a Dynkin quiver $Q$. For any commutation class $[i]$ of reduced words in the corresponding Weyl group, we define a subcategory
openaire +2 more sources
Slice modules over minimal 2-fundamental algebras
Open Mathematics, 2007 Pogorzały Zygmunt, Szmyt Karolina
doaj +1 more source
Mesh-comparable components of the Auslander-Reiten quiver
The idea of using Riedtmann's well-behaved functors to study compositions of irreducible morphisms has been explored in a number of articles. Here we introduce the concept of mesh-comparable components of the Auslander-Reiten quiver, which are components for which a Riedtmann functor exists without the necessity of taking a covering, such as the ...
Chust, Viktor, Coelho, Flávio U.
openaire +1 more source
Additive og subadditive funksjoner og Auslander-Reiten-quiver
, 2016 I denne oppgaven studerer vi Cartanmatriser, additive og subadditive funksjoner og translasjonsquivre. Spesielt vil vi se hvordan additive og subadditive funksjoner er definert både for Cartanmatriser og for translasjonsquivre, og hvordan disse funksjonene gir restriksjoner for Cartanklassen til et stabilt valuert sammenhengende translasjonsquiver som ...
openaire +1 more source