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Classification, Koszulity and Artin–Schelter regularity of certain graded twisted tensor products
Journal of Noncommutative Geometry ( IF 0.7 ) Pub Date : 2021-02-08 , DOI: 10.4171/jncg/395
Andrew Conner 1 , Peter Goetz 2
Affiliation  

Let $\mathbb K$ be an algebraically closed field. We classify all of the quadratic twisted tensor products $A \otimes_{\tau} B$ in the cases where $(A, B) = (\mathbb K[x], \mathbb K[y])$ and $(A, B) = (\mathbb K[x, y], \mathbb K[z])$. We determine when a quadratic twisted tensor product of this form is Koszul, and when it is Artin–Schelter regular.

中文翻译:

某些渐变扭曲张量积的分类,Koszulity和Artin-Schelter规律

令$ \ mathbb K $为代数封闭字段。在$(A,B)=(\ mathbb K [x],\ mathbb K [y])$和$( A,B)=(\ mathbb K [x,y],\ mathbb K [z])$。我们确定这种形式的二次扭曲张量积何时是Koszul,什么时候是Artin-Schelter正则。
更新日期:2021-02-08
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