[图书][B] The category of good modules over a quasi-hereditary algebra has almost split sequences

CM Ringel - 1989 - pub.uni-bielefeld.de
Let A be a quasi-hereditary algebra. The aim of this paper is to show that the category of all
A-modules with good filtrations is functorially finite in A-mod, thus it has (relative) almost split …

[PDF][PDF] The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences

CM Ringel - Math. Zeit, 1991 - core.ac.uk
zeltschrlft Page 1 Math. 2. 208, 2097223 (1991) Mathemattsche zeltschrlft © Springer-Veda g
1991 The category of modules with good filtrations over a quasi-hereditary algebra has almost …

[图书][B] The category of good modules over a quasi-hereditary algebra

CM Ringel - 1990 - math.uni-bielefeld.de
Let A be a quasi–hereditary algebra, and F (∆) the set of A–modules which have a filtration
by standard modules. Since F (∆) has almost split sequences, the usual techniques of …

Artin algebras of finite type and finite categories of Δ-good modules

DD da Silva - Communications in Algebra, 2016 - Taylor & Francis
We give an alternative proof to the fact that, if the square of the infinite radical of the module
category of an Artin algebra is equal to zero, then the algebra is of finite type by making use …

[PDF][PDF] On preprojective and preinjective partitions of a∆-good module category

Z Zeng - Journal of Algebra, 2005 - core.ac.uk
Let Λ be an artin algebra. It is shown in [4] that the module category modΛ has preprojective
and preinjective partitions and that Λ is of finite representation type if and only if either all …

Directing objects in hereditary categories

D Happel, I Reiten - Contemporary Mathematics, 1998 - books.google.com
If H is a hereditary abelian category with tilting object, then it is shown that H is derived
equivalent to a module category over a hereditary artin algebra provided H contains a …

[PDF][PDF] On Auslander-Reiten translates in functorially finite subcategories and applications

K Erdmann, D Madsen, V Miemietz - Colloq. Math, 2010 - academia.edu
We consider functorially finite subcategories in module categories over Artin algebras. One
main result provides a method, in the setup of bounded derived categories, to compute …

[引用][C] Extensions of homologically finite subcategories

SA Sikko, SO Smalø - Archiv der Mathematik, 1993 - Springer
Introduction. The study of homologically finite subcategories has turned out to be important
in several contexts, especially in the representation theory of artin algebras. In this paper we …

[图书][B] Characteristic tilting modules over quasi-hereditary algebras

M Klucznik, S König - 1999 - u.cs.biu.ac.il
Tilting modules occur in a variety of contexts and we are fortunate to have a unifying
language with which to describe them. This is provided by the language of quasi-hereditary …

[PDF][PDF] Left sections and the left part of an Artin algebra

I Assem - Colloq. Math, 2009 - usherbrooke.ca
Let A be an artin algebra. We are interested in studying the representation theory of A, thus
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …