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 highdimensional 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).