THE DESCENT EQUATION OF NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON LATTICE

Author(s):  
KE WU
K-Theory ◽  
1990 ◽  
Vol 4 (2) ◽  
pp. 157-180 ◽  
Author(s):  
Tetsuya Masuda ◽  
Yoshiomi Nakagami ◽  
Junsei Watanabe

K-Theory ◽  
1991 ◽  
Vol 5 (2) ◽  
pp. 151-175 ◽  
Author(s):  
Tetsuya Masuda ◽  
Yoshiomi Nakagami ◽  
Junsei Watanabe

2021 ◽  
Vol 39 (1) ◽  
Author(s):  
Héctor Suárez ◽  
Duban Cáceres ◽  
Armando Reyes

In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over a finitely presented Koszul Auslander-regular algebra has trivial homological determinant. For A = σ(R)<x1, x2> 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.


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