Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
Abstract. In this work we study Auslander regularity conditions and the strongly noetherian property for the skew P BW extensions. The Cohen-Macaulay condition is also analyzed. In addition, as application of strongly noetherian algebras, we make an introduction to the non-commutative algebraic geom...
- Autores:
-
Venegas Ramirez, Helbert Javier
- Tipo de recurso:
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/58022
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/58022
http://bdigital.unal.edu.co/54554/
- Palabra clave:
- 51 Matemáticas / Mathematics
Skew P BW extensions
Filtered-graded rings
Auslander regularity condition
Cohen-Macaulay rings
Strongly noetherian algebras
Point modules
Extensiones P BW torcidas
Condiciones de regularidad de Auslander
Anillos Cohen-Macaulay
Álgebras fuertemente noetherianas
Módulos de puntos
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Abstract. In this work we study Auslander regularity conditions and the strongly noetherian property for the skew P BW extensions. The Cohen-Macaulay condition is also analyzed. In addition, as application of strongly noetherian algebras, we make an introduction to the non-commutative algebraic geometry of finitely graded algebras via its point modules. |
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