Artin-Schelter regularity of twisted tensor products
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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 high-dimensional Artin-Schelter regular algebras.
KeywordsArtin-Schelter regular (AS-regular algebra) algebra twisted tensor product pure resolution with respect to length
MSC16E65 16W50 14A22
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The authors thank the referees for careful reading and valuable suggestions. Xin Wang was supported by the National Natural Science Foundation of China (Grant No. 11671351); Yuan Shen was supported by the National Natural Science Foundation of China (Grant No. 11626215).