Endomorphism algebras of exceptional sequences over path algebras of type $\widetilde{A}_{n}$

Ibrahim Assem; Yingbo Zhang

Displaying similar documents to “Endomorphism algebras of exceptional sequences over path algebras of type ${\tilde{A}}_{n}$ ”

Iterated coil enlargements of algebras

Bertha Tomé (1995)

Fundamenta Mathematicae

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Let Λ be a finite-dimensional, basic and connected algebra over an algebraically closed field, and mod Λ be the category of finitely generated right Λ-modules. We say that Λ has acceptable projectives if the indecomposable projective Λ-modules lie either in a preprojective component without injective modules or in a standard coil, and the standard coils containing projectives are ordered. We prove that for such an algebra Λ the following conditions are equivalent: (a) Λ is tame, (b)...

Quasitilted algebras have preprojective components

Ole Enge (2000)

Colloquium Mathematicae

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We show that a quasitilted algebra has a preprojective component. This is proved by giving an algorithmic criterion for the existence of preprojective components.

Polynomial growth trivial extensions of simply connected algebras

Jerzy Nehring, Andrzej Skowroński (1989)

Fundamenta Mathematicae

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On the number of terms in the middle of almost split sequences over cycle-finite artin algebras

Piotr Malicki, José Peña, Andrzej Skowroński (2014)

Open Mathematics

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We prove that the number of terms in the middle of an almost split sequence in the module category of a cycle-finite artin algebra is bounded by 5.

A splitting theorem for multipeak path algebras

Daniel Simson (1991)

Fundamenta Mathematicae

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Directing components for quasitilted algebras

Flávio Coelho (1999)

Colloquium Mathematicae

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We show here that a directing component of the Auslander-Reiten quiver of a quasitilted algebra is either postprojective or preinjective or a connecting component.

Degenerations for indecomposable modules and tame algebras

Andrzej Skowroński, Grzegorz Zwara (1998)

Annales scientifiques de l'École Normale Supérieure

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Minimal bipartite algebras of infinite prinjective type with prin-preprojective component

Stanisław Kasjan (1998)

Colloquium Mathematicae

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Displaying similar documents to “Endomorphism algebras of exceptional sequences over path algebras of type A ˜ n ”

Displaying similar documents to “Endomorphism algebras of exceptional sequences over path algebras of type ${\tilde{A}}_{n}$ ”