Regular algebras of dimension 4 and their $A_\infty$-Ext-algebras
Regular algebras of dimension 4 and their $A_\infty$-Ext-algebras
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DOI：
10.1215/s0012-7094-07-13734-7
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发表时间：
2004-11
影响因子：
2.5
通讯作者：
D. Lu;J. Palmieri;Q.-S. Wu;J. J. Zhang-J.
中科院分区：
文献类型：
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作者：
D. Lu;J. Palmieri;Q.-S. Wu;J. J. Zhang-J.
构造了四族整体四维Artin-Schelter正则代数。在某些一般条件下，这是由两个1次元生成的整体维数为4的Artin-Schelter正则代数的完整列表。这些代数也是强诺etherian， Auslander正则和Cohen-Macaulay。其中一个主要的工具是Keller关于a -∞ext代数的高乘法定理。
We construct four families of Artin-Schelter regular algebras of global dimension four. Under some generic conditions, this is a complete list of Artin-Schelter regular algebras of global dimension four that are generated by two elements of degree 1. These algebras are also strongly noetherian, Auslander regular and Cohen-Macaulay. One of the main tools is Keller's higher-multiplication theorem on A-infinity Ext-algebras.