Artin–Schelter regular algebras of dimension five with two generators
Artin–Schelter regular algebras of dimension five with two generators
复制标题
DOI：
10.1016/j.jpaa.2013.10.011
复制
发表时间：
2013-03
影响因子：
0.8
通讯作者：
G.-S. Zhou;D. Lu
中科院分区：
文献类型：
--
作者：
G.-S. Zhou;D. Lu
利用Hilbert驱动的Gröbner基计算方法，研究了具有两个生成元的5维Artin-Schelter正则代数在一个附加Z2-分次下的分类问题.我们得到的所有代数都是强Noether代数、Auslander正则代数和Cohen-Macaulay代数。其中一个结果回答了Fløystad-Vatne在Z 2-分级背景下提出的问题.我们的结果也实现了林登词和Artin-Schelter正则代数之间的连接。
We study and classify Artin–Schelter regular algebras of dimension five with two generators under an additional Z 2-grading by Hilbert driven Gröbner basis computations. All the algebras we obtained are strongly noetherian, Auslander regular, and Cohen–Macaulay. One of the results provides an answer to Fløystad–Vatneʼs question in the context of Z 2-grading. Our results also achieve a connection between Lyndon words and Artin–Schelter regular algebras.