REGULARITY CRITERION AND CLASSIFICATION FOR ALGEBRAS OF JORDAN TYPE
REGULARITY CRITERION AND CLASSIFICATION FOR ALGEBRAS OF JORDAN TYPE
复制标题
DOI：
10.1017/s0017089515000075
复制
发表时间：
2013-08
影响因子：
0.5
通讯作者：
Y. Shen;G.-S. Zhou;D. Lu
中科院分区：
文献类型：
--
作者：
Y. Shen;G.-S. Zhou;D. Lu
本文证明了$\mathbb{Z}$-分次代数的Artin-Schelter正则性可以由其对应的$\mathbb{Z}$r-分次代数来检验.证明了存在一类具有两个一次生成元的四维Artin Schelter正则代数是Jordan型的.这个类是强诺特、Auslander正则和Cohen-Macaulay的。描述了它们的自同构和点模。
Abstract We show that Artin–Schelter regularity of a $\mathbb{Z}$-graded algebra can be examined by its associated $\mathbb{Z}$r-graded algebra. We prove that there is exactly one class of four-dimensional Artin–Schelter regular algebras with two generators of degree one in the Jordan type. This class is strongly noetherian, Auslander regular, and Cohen–Macaulay. Their automorphisms and point modules are described.