Double Ore Extensions
Double Ore Extensions
复制标题
DOI：
10.1016/j.jpaa.2008.05.008
复制
发表时间：
2007-12
影响因子：
0.8
通讯作者：
James J. Zhang;Jun Zhang
中科院分区：
文献类型：
--
作者：
James J. Zhang;Jun Zhang
双重矿石延伸是矿石延伸的自然推广。证明了Artin-Schelter正则代数的连通分次双Ore扩张是Artin-Schelter正则。对DE数据的行列式等基本性质进行了研究。利用双Ore扩张，我们在续文中构造了26族整体维为4的Artin-Schelter正则代数。
A double Ore extension is a natural generalization of the Ore extension. We prove that a connected graded double Ore extension of an Artin–Schelter regular algebra is Artin–Schelter regular. Some other basic properties such as the determinant of the DE-data are studied. Using the double Ore extension, we construct 26 families of Artin–Schelter regular algebras of global dimension four in a sequel paper.