Almost projective modules and almost split sequences with indecomposable middle term

R Martínez-Villa - Communications in Algebra, 1980 - Taylor & Francis
Almost projective modules and almost split sequences with indecomposable middle term Page 1
COMMUNICATIONS IN ALGEBRA, 8(12), 1123-1150 (1980) ALMOST PROJECTIVE MODULES …

[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 …

On the derived categories and Quasitilted algebras

FU Coelho, C Tosar - Algebras and representation theory, 2009 - Springer
In this paper, we present some results on the bounded derived category of Artin algebras,
and in particular on the indecomposable objects in these categories, using homological …

Higher-dimensional Auslander–Reiten theory on maximal orthogonal subcategories

O Iyama - Advances in Mathematics, 2007 - Elsevier
We introduce the concept of maximal (n− 1)-orthogonal subcategories over Artin algebras
and orders, and develop (n+ 1)-dimensional Auslander–Reiten theory on them. We give the …

[PDF][PDF] Almost split sequences in subcategories

M Auslander, SO Smalø - Journal of Algebra, 1981 - core.ac.uk
Let R be a commutative artin ring and let/i be an R-algebra which is a finitely generated R-
module. In [5] Auslander and Reiten introduced the notion of an almost split sequence in …

From subcategories to the entire module categories

R Hafezi - Forum Mathematicum, 2021 - degruyter.com
In this paper we show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

[PDF][PDF] The connected components of the Auslander-Reiten quiver of a tilted algebra

SP Liu - Journal of Algebra, 1993 - core.ac.uk
Let A be an artin algebra and T a splitting tilting module in mod A, the category of fintely
generated left A-modules. If we let B= End,(T) and denote by mod B the category of finitely …

[引用][C] Representations of partially ordered sets and 1-Gorenstein Artin algebras

R Bautista, R Martinez - Proceedings, conference on ring theory, Antwerp, 1978

Nonexistent cycles

R Bautista, SO Smal⊘ - Communications in Algebra, 1983 - Taylor & Francis
Lately, a lot of effort has been put into the study of the Auslander-Reiten quiver (AR-quiver)
of an artin algebra A. The results presented in this paper fit into this trend. The impetus for …

Degeneration-like orders on the additive categories of generalized standard Auslander-Reiten components.

A Skowroński, G Zwara - Archiv der Mathematik, 2000 - search.ebscohost.com
Degeneration-like orders on the additive categories of generalized standard Auslander-Reiten
components Page 1 Degeneration-like orders on the additive categories of generalized …