Calabi-Yau property for graded skew PBW extensions
Graded skew PBW extensions were defined by the first author as a generalization of graded iterated Ore extensions [36]. The purpose of this paper is to study the Artin-Schelter regularity and the (skew) Calabi-Yau condition for this kind of extensions. We prove that every graded quasi-commutative sk...
- Autores:
-
Suárez, Héctor
Lezama, Oswaldo
Reyes, Armando
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66432
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66432
http://bdigital.unal.edu.co/67460/
- Palabra clave:
- 51 Matemáticas / Mathematics
Graded skew PBW extensions
AS-regular algebras
skew Calabi-Yau algebras
Extensiones PBW torcidas graduadas
álgebras AS-regular
álgebras Calabi-Yau torcidas
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Graded skew PBW extensions were defined by the first author as a generalization of graded iterated Ore extensions [36]. The purpose of this paper is to study the Artin-Schelter regularity and the (skew) Calabi-Yau condition for this kind of extensions. We prove that every graded quasi-commutative skew PBW extension of an Artin-Schelter regular algebra is also an Artin-Schelter regular algebra and, as a consequence, every graded quasi-commutative skew PBW extension of a connected skew Calabi-Yau algebra is skew Calabi-Yau. Finally, we prove that graded skew PBW extensions of a finitely presented connected Auslander-regular algebra are skew Calabi-Yau. |
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