Artin-Schelter regularity of twisted tensor products

Abstract

We prove an Artin-Schelter regularity result for the method of twisted tensor products under a certain form. Such twisted tensor products, whose twisting maps are determined by the action on the generators, include Ore extensions and double Ore extensions. It is helpful to construct highdimensional Artin-Schelter regular algebras.

Keywords

Artin-Schelter regular (AS-regular algebra) algebra / twisted tensor product / pure resolution with respect to length

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