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Vol. 9 No. 2 (2018)
Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre

Artículos de investigación / Research papers

Some homological properties of Jordan plane

https://doi.org/10.19053/01217488.v9.n2.2018.8140

Published 2018-07-04

  • Hector Julio Suárez Suárez
    • ,
  • Jonatan Andrés Gómez Parada

Hector Julio Suárez Suárez
Universidad Pedagógica y Tecnológica de Colombia

Jonatan Andrés Gómez Parada
UPTC-Tunja

Abstract

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

PDF (Español)

Author Biography

Hector Julio Suárez Suárez

Boyacá, Tunja

References

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