Abstract

SUAREZ, H; LEZAMA, O  and  REYES, A. Some Relations between N-Koszul, Artin-Schelter Regular and Calabi-Yau Algebras with Skew PBW Extensions. Ciencia en Desarrollo [online]. 2015, vol.6, n.2, pp.205-213. ISSN 0121-7488.

Some 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.

Keywords : Skew PBW extensions; Calabi-Yau algebras; N-Koszul algebras; AS -regular algebras; Ore extensions.

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