Artin-Schelter regularity of twisted tensor products

doi:10.1007/s11464-018-0726-8

Frontiers of Mathematics in China

2018, Vol. 13

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

本期目录

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.

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

收稿日期: 2018-04-10 出版日期: 2018-10-29

Corresponding Author(s): Yuan SHEN

引用本文:

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

链接本文:

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

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