Abstract

GOMEZ PARADA, Jonatan Andrés  and  SUAREZ SUAREZ, Héctor Julio. Some homological properties of Jordan plane. Ciencia en Desarrollo [online]. 2018, vol.9, n.2, pp.69-82. ISSN 0121-7488.

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.

Keywords : Jordan plane; Artin-Schelter regular algebras; skew Calabi-Yau algebras; Nakayama automorphism.

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