Algebras whose derived category is tame

JA De la Pe a - Contemporary Mathematics, 1998 - books.google.com
Let A be a finite dimensional algebra over an algebraically closed field k. In recent years the
consideration of the derived category D"(A) of the category mod A of (left-) modules over A …

[引用][C] Many Algebras with the same Auslander‐Reiten Quiver

C Riedtmann - Bulletin of the London Mathematical Society, 1983 - Wiley Online Library
In most cases, a finite-dimensional representation-finite algebra over an algebraically closed
field k is uniquely determined by its Auslander-Reiten quiver, up to Morita-equivalence. In …

Tree algebras with non-negative Tits form

P DrÄxler, JA De La Pena - Communications in Algebra, 2000 - Taylor & Francis
One of the seminal results of modern representation theory of algebras is Gabriel's theorem
saying that a quiver algebra A= kQ accepts only finitely many isoclasses of indecomposable …

The Tits forms of tame algebras and their roots

JA de la Peña, A Skowronski - … and Related Topics, EMS Series of …, 2011 - books.google.com
Let K be an algebraically closed field. From Drozd's Tame and Wild Theorem [37](see also
[25] and [42]) the finite dimensional algebras (associative, with an identity) may be divided …

[PDF][PDF] On the numbers of discrete indecomposable modules over tame algebras

A Skowroński, G Zwara - Colloquium Mathematicae, 1997 - eudml.org
ANDRZEJ SK OWRO N SKI AND GRZEGORZ Z WARA(TORU N) 1. Introduction.
Throughout the paper K denotes a fixed algebraically closed field. By an algebra we mean …

[PDF][PDF] Preprojective components for certain algebras

R Bautista, L Salmerón - Journal of Pure and Applied Algebra, 1983 - library.navoiy-uni.uz
Let/1 be a finite dimensional algebra over an algebraically closed field k. In the study of
mod/i, the category of finitely generated/i-modules, it has been recently recognized that the …

[PDF][PDF] Iterated tubular algebras

JA De la Peña, B Tomé - Journal of pure and applied algebra, 1990 - core.ac.uk
Let k be a fixed algebraically closed field. Let A be a finite dimensional, basic and connected
k-algebra. In this work we are concerned with the study of certain classes of tame algebras …

[引用][C] Representation-finite algebras whose Auslander–Reiten quiver is planar

JA De la Peña - Journal of the London Mathematical Society, 1985 - academic.oup.com
Throughout the paper A will denote a finite-dimensional connected and basic/c-algebra of
finite representation type. We assume the ground field k to be algebraically closed. By FA we …

On Non-Homogeneous Tubes and Components of Type in the Bounded Derived Category

C Chaio, A Gonzalez Chaio, I Pratti - Algebras and Representation theory, 2021 - Springer
By the knitting technique introduced to build the Auslander-Reiten quiver of the category of
complexes of fixed size, it is possible to obtain the Auslander-Reiten triangles in the …

[引用][C] Infinite radicals in standard Auslander-Reiten components

SP Liu - Journal of Algebra, 1994 - Elsevier
Let A be an artin algebra and mod A the category of finitely generated left A-modules.
Denote by rad (mod A) the Jacobson radical of mod A and by rad*(mod A) the infinite radical …