We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Some special types of determinants in graded skew PBW extensions.
- Authors
SUÁREZ, HÉCTOR; CÁCERES, DUBAN; REYES, ARMANDO
- Abstract
In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over a finitely presented Koszul Auslanderregular algebra has trivial homological determinant. For A = σ(R)hx1; x2i a graded skew PBW extension over a connected algebra R, we compute its P- determinant and the inverse of σ. In the particular case of quasi-commutative skew PBW extensions over Koszul Artin-Schelter regular algebras, we show explicitly the connection between the Nakayama automorphism of the ring of coefficients and the extension. Finally, we give conditions to guarantee that A is Calabi-Yau. We provide illustrative examples of the theory concerning algebras of interest in noncommutative algebraic geometry and noncommutative differential geometry.
- Subjects
NONCOMMUTATIVE differential geometry; ALGEBRAIC geometry; KOSZUL algebras; DIFFERENTIAL geometry; ARTIN algebras; NONCOMMUTATIVE algebras; DETERMINANTS (Mathematics)
- Publication
Revista Integración, 2021, Vol 39, Issue 1, p91
- ISSN
0120-419X
- Publication type
Article
- DOI
10.18273/revint.v39n1-2021007