Some homological properties of Jordan plane

The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a skew Calabi-Yau algebra, in addition its Nakayama automorphis...

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Bibliographic Details
Main Authors: Suárez Suárez, Hector Julio, Gómez Parada, Jonatan Andrés
Format: Online
Language:spa
Published: Universidad Pedagógica y Tecnológica de Colombia 2018
Subjects:
Online Access:https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140
Description
Summary:The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a skew Calabi-Yau algebra, in addition its Nakayama automorphism is explicitly calculated.