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Artin-Schelter regularity of twisted tensor products |
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| Authors: | Xin Wang Yuan Shen |
| Affiliation: | 1. School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China2. Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
| 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 high-dimensional 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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