Finitely semi-graded algebras and Koszulity
The aim of this work is to introduce the class of finitely semi-graded algebras which is a generalization of finitely graded algebras generated in degree one, and include important examples whithin the skew P BW extensions. We study Koszul behavior of finitely semi-graded algebras investigating the...
- Autores:
-
Gómez Ortiz, Jaime Andrés
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/69720
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/69720
http://bdigital.unal.edu.co/71867/
- Palabra clave:
- 5 Ciencias naturales y matemáticas / Science
51 Matemáticas / Mathematics
Finitely graded algebras
finitely semi-graded algebras
Hilbert series
Poincaré series
Skew PBW extensions
Koszul algebras
Semi-graded Koszul algebras
Distributive lattices
Álgebras finitamente graduadas ÁKoszul
Álgebras finitamente semi-graduadas
Serie de Hilbert
Serie de Poincaré
Extensiones P BW torcidas
Álgebras de Koszul
Retículos distributivos
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | The aim of this work is to introduce the class of finitely semi-graded algebras which is a generalization of finitely graded algebras generated in degree one, and include important examples whithin the skew P BW extensions. We study Koszul behavior of finitely semi-graded algebras investigating the distributivity of some associated ideal lattices. Also, we discuss the Hilbert series, the Poincaré series and the Yoneda algebra for this class of algebras. |
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