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...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2018 |
| País: | Colombia |
| Institución: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| 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/ |
| Access Level: | acceso abierto |
| 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 |
| Sumario: | 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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