Shape of the Auslander-Reiten triangles

Our main theorem classifies the Auslander-Reiten triangles according to properties of the morphisms involved. As a consequence, we are able to compute the mapping cone of an irreducible morphism. We finish by showing a technique for constructing the connecting component of the derived category of an...

Full description

Autores:

Giraldo Salazar, Hernán Alonso
Ribeiro Álvares, Edson
Fernándes, Sônia María

Tipo de recurso:

Article of investigation

Fecha de publicación:

2020

Institución:

Universidad de Antioquia

Repositorio:

Repositorio UdeA

Idioma:

eng

OAI Identifier:

oai:bibliotecadigital.udea.edu.co:10495/46326

Acceso en línea:

https://hdl.handle.net/10495/46326

Palabra clave:

Morfismo (Matemáticas)
Morphisms (Mathematics)
Álgebra
Algebra
Módulos (Álgebra)
Modules (algebra)
Álgebras de Artin
Artin algebras
Isomorfismo (Matemáticas)
Isomorphisms (Mathematics)

Rights

openAccess

License

http://creativecommons.org/licenses/by-nc-sa/4.0/