Periodic string complexes over string algebras

In this paper we develop combinatorial techniques for the case of string algebras with the aim to give a characterization of string complexes with infinite minimal projective resolution. These complexes will be called \textit{periodic string complexes}. As a consequence of this characterization, we give two important applications. The first one, is a sufficient condition for a string algebra to have infinite global dimension. In the second one, we exhibit a class of indecomposable objects in the derived category for a special case of string algebras. Every construction, concept and consequence in this paper is followed by some illustrative examples

• Autores: Franco Londoño, Andrés; Giraldo Salazar, Hernán Alonso; Hernandez Rizzo, Pedro Jesús
• Tipo de recurso: Article of investigation
• Fecha de publicación: 2021
• Institución: Universidad de Antioquia
• Repositorio: Repositorio UdeA
• Idioma: eng
• OAI Identifier: oai:bibliotecadigital.udea.edu.co:10495/46928
• Acceso en línea: https://hdl.handle.net/10495/46928
• Palabra clave: Categorías derivadas (Matemáticas); Derived categories (Mathematics); Modelos de cuerdas; String models; String complexes; Projective resolutions; Infinite global dimension; http://id.loc.gov/authorities/subjects/sh2009000767
• Rights: openAccess
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/