2017/11/29 by Suárez, Héctor, Lezama, Oswaldo, Reyes, Armando
#13N10 #16S36 #16S37 #16W50 #16W70 #FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.1711.11447
Graded quasi-commutative skew PBW extensions are isomorphic to graded iterated Ore extensions of endomorphism type, whence graded quasi-commutative skew PBW extensions with coefficients in AS-regular algebras are skew Calabi-Yau and the Nakayama automorphism exists for these extensions. With this in mind, in this paper we give a description of Nakayama automorphism for these non-commutative algebras using the Nakayama automorphism of the ring of the coefficients.