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Auslander-reiten sequences with few middle terms and applications to string algebrass

M.C.R. Butler, +1 more
- 01 Jan 1987 - 
- Vol. 15, pp 145-179
TLDR
In this paper, the Auslander-reiten sequences with few middle terms and applications to string algebras are presented. But they do not have any application to string algebra.
Abstract: 
(1987). Auslander-reiten sequences with few middle terms and applications to string algebrass. Communications in Algebra: Vol. 15, No. 1-2, pp. 145-179.

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Journal ArticleDOI

Quivers with potentials and their representations I: Mutations

Harm Derksen, +2 more
- 06 Jun 2008 - 
TL;DR: In this article, the authors studied quivers with relations given by noncommutative analogs of Jacobian ideals in the complete path algebra and gave a representation-theoretic interpretation of quiver mutations at arbitrary vertices.
MonographDOI

Model Theory and Modules: Model Theory and Modules

M. Prest
Book

Model theory and modules

Mike Prest
TL;DR: The model-theoretic investigation of modules has led to ideas, techniques and results which are of algebraic interest, irrespective of their modeltheoretical significance as mentioned in this paper, and it is these aspects that I will discuss in this chapter, although I will make some comments on the model theory of modules per se.
Journal ArticleDOI

Gentle algebras arising from surface triangulations

Ibrahim Assem, +3 more
- 26 Jan 2010 - 
TL;DR: In this paper, the authors associate an algebra A(Γ) to a triangulation Γ of a surface S with a set of boundary marking points, and prove that the algebra is cluster-tilted if and only if the surface S is a disc or an annulus.
Journal ArticleDOI

Maps between representations of zero-relation algebras

William Crawley-Boevey
- 01 Nov 1989 - 
References
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Book

Tame Algebras and Integral Quadratic Forms

Claus Michael Ringel
TL;DR: In this article, the construction of stable separating tubular families and tubular algebras are discussed. But they do not discuss the relation between tubular extensions and directed algesbras.
Journal ArticleDOI

Representation theory of artin algebras iii almost split sequences

Maurice Auslander, +1 more
- 01 Jan 1975 - 
TL;DR: In this paper, the representation theory of artin algebras iii almost split sequences is studied and the authors propose a representation theory for almost-split sequences in algebraic graphs.
Journal ArticleDOI

Algebren, Darstellungsköcher, Ueberlagerungen und zurück

C. Riedtmann, +1 more
- 01 Dec 1980 - 
Journal ArticleDOI

Tame biserial algebras

Burkhard Wald, +1 more
- 01 Aug 1985 - 
TL;DR: In this paper, it was shown that a special algebra is a factor of a special symmetric algebra (Theorem 1.5) and that a biserial algebra of infinite representation type is tame.
Journal ArticleDOI

Representation theory of artin algebras IV1)Invariants given by almost split sequences

Maurice Auslander, +1 more
- 01 Jan 1977 - 
TL;DR: The representation theory of artin algebras has been studied in this paper, where invariants given by almost split sequences have been studied as a special case of almost-split sequences.