Álgebras de Nakayama hereditárias por partes
In this work we introduce some tilting complexes for acyclic Nakayama algebras and describe their endomorphism algebras. We use such complexes to show that any acyclic Nakayama algebra is derived equivalent to an incidence algebra of poset. We also generalize the result of Happel and Seidel on the c...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Brasil |
| Institución: | Universidade Federal de Minas Gerais (UFMG) |
| Repositorio: | Repositório Institucional da UFMG |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufmg.br:1843/58133 |
| Acceso en línea: | http://hdl.handle.net/1843/58133 |
| Access Level: | acceso abierto |
| Palabra clave: | Categorias derivadas Equivalência derivada Álgebras de Nakayama Álgebras de incidência de posets Álgebras hereditárias por partes Matemática – Teses Categorias derivadas (Matemática) – Teses Álgebras de incidência – Teses |
| Sumario: | In this work we introduce some tilting complexes for acyclic Nakayama algebras and describe their endomorphism algebras. We use such complexes to show that any acyclic Nakayama algebra is derived equivalent to an incidence algebra of poset. We also generalize the result of Happel and Seidel on the classification of piecewise hereditary truncated Nakayama algebras for two classes of Nakayama algebras: simple pullback and simple pushout of truncated Nakayama algebras. |
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