Nakayama Automorphism of Some Skew PBW Extensions

Abstract

Let R be an Artin-Schelter regular algebra and A=σ(R)〈x1,...,xn〉be agraded quasi-commutative skew PBW extension overR. In this paper wedescribe the Nakayama automorphism ofAusing the Nakayama automor-phism of the ring of coefficients R. We calculate explicitly the Nakayamaautomorphism of some skew PBW extensions.