Some Relations between N-Koszul, Artin-Schelter Regular and Calabi-Yau Algebras with Skew PBW Extensions. (Algunas relaciones entre álgebras N-Koszul, Artin-Schelter regular y Calabi-Yau con extensiones PBW torcidas)

AbstractSome authors have studied relations between Artin-Schelter regular algebras, N-Koszul algebras and Calabi- Yau algebras (resp. skew Calabi-Yau) of dimension d. In this paper we want to show through examples and counterexamples some relations between these classes of algebras with skew PBW ex...

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Bibliographic Details
Main Authors:	Suárez, Héctor, Lezama, O., Reyes, A.
Format:	Online
Language:	spa
Published:	Universidad Pedagógica y Tecnológica de Colombia 2015
Subjects:	Skew PBW extensions Calabi-Yau algebras N-Koszul algebras AS -regular algebras Ore extensions. (extensiones Skew PBW algebras Calabi-Yau algebras N-Koszul algebras AS -regular extensiones Ore.)
Online Access:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/3791

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Summary:	AbstractSome authors have studied relations between Artin-Schelter regular algebras, N-Koszul algebras and Calabi- Yau algebras (resp. skew Calabi-Yau) of dimension d. In this paper we want to show through examples and counterexamples some relations between these classes of algebras with skew PBW extensions. In addition, we also exhibit some examples of the preservation of these properties by Ore extensions. ResumenAlgunos autores han estudiado las relaciones entre las álgebras Artin-Schelter regular, las álgebras N -Koszul y las álgebras Calabi-Yau (resp. skew Calabi-Yau) de dimensión d . En este artículo queremos mostrar a través de ejemplos y contraejemplos algunos relaciones entre estas clases de álgebras y las extensiones PBW torcidas. Además, mostraremos algunos ejemplos de preservación de estas propiedades en las extensiones de Ore.