Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas

In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over finitely presented Koszul Auslander-regular algebra has trivial homological determinant. For A = ?(R)<x1, x2> connected R, compute its P-determinant and inverse ?. particular case quasi-commutative extensions Artin-Schelter regular algebras, show explicitly connection between ring coefficients extension. Finally, give conditions to guarantee is Calabi-Yau. We provide illustrative examples theory concerning algebras interest in noncommutative algebraic geometry differential geometry.