Artin-Schelter regularity of twisted tensor products

doi:10.1007/s11464-018-0726-8

Front. Math. China

2018, Vol. 13

Issue (5) : 1141-1167 https://doi.org/10.1007/s11464-018-0726-8

RESEARCH ARTICLE

Artin-Schelter regularity of twisted tensor products

Xin WANG¹, Yuan SHEN²(

)

¹. School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
². Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China

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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.

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

Corresponding Author(s): Yuan SHEN

Issue Date: 29 October 2018

Cite this article:

Xin WANG,Yuan SHEN. Artin-Schelter regularity of twisted tensor products[J]. Front. Math. China, 2018, 13(5): 1141-1167.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-018-0726-8
https://academic.hep.com.cn/fmc/EN/Y2018/V13/I5/1141

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