One point extensions of trees and quadratic forms

Nikolaos Marmaridis

Displaying similar documents to “One point extensions of trees and quadratic forms”

Polynomial growth trivial extensions of simply connected algebras

Jerzy Nehring, Andrzej Skowroński (1989)

Fundamenta Mathematicae

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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.

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

Stanisław Kasjan (1998)

Colloquium Mathematicae

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On indecomposable representations of quivers with zero-relations

Mirosław Dembiński, Piotr Dowbor, Andrzej Skowroński (1988)

Fundamenta Mathematicae

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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)...

Generalized coil enlargements of algebras

Piotr Malicki (1998)

Colloquium Mathematicae

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Tame triangular matrix algebras

Zbigniew Leszczyński, Andrzej Skowroński (2000)

Colloquium Mathematicae

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We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra $T_{2} (A)$ of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which $T_{2} (A)$ is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.

A splitting theorem for multipeak path algebras

Daniel Simson (1991)

Fundamenta Mathematicae

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Slice modules over minimal 2-fundamental algebras

Zygmunt Pogorzały, Karolina Szmyt (2007)

Open Mathematics

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We consider a class of algebras whose Auslander-Reiten quivers have starting components that are not generalized standard. For these components we introduce a generalization of a slice and show that only in finitely many cases (up to isomorphism) a slice module is a tilting module.

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

Ibrahim Assem, Yingbo Zhang (1998)

Colloquium Mathematicae

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