Frontiers of Mathematics in China >

2018 , Vol. 13 >Issue 5: 1141 - 1167

DOI: https://doi.org/10.1007/s11464-018-0726-8

RESEARCH ARTICLE

Artin-Schelter regularity of twisted tensor products

  • Xin WANG 1 ,
  • Yuan SHEN , 2
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  • 1. School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
  • 2. Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China

Received date: 10 Apr 2018

Accepted date: 18 Aug 2018

Published date: 29 Oct 2018

Copyright

2018 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature
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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.

Key words： Artin-Schelter regular (AS-regular algebra) algebra; twisted tensor product; pure resolution with respect to length

Cite this article

Xin WANG , Yuan SHEN . Artin-Schelter regularity of twisted tensor products[J]. Frontiers of Mathematics in China, 2018 , 13(5) : 1141 -1167 . DOI: 10.1007/s11464-018-0726-8

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