N-Koszul algebras, Calabi-Yau algebras and skew PBW extensions

Abstract. In the schematic approach to non-commutative algebraic geometry arises some important classes of non-commutative algebras like Koszul algebras, Artin-Schelter regular algebras, Calabi-Yau algebras, and closely related with them, the skew PBW extensions. There exist some relations between t...