Koszulity for Nonquadratic Algebras
Koszulity for Nonquadratic Algebras
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DOI：
10.1006/jabr.2000.8703
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发表时间：
2001-05
影响因子：
0.9
通讯作者：
R. Berger
中科院分区：
文献类型：
--
作者：
R. Berger
摘要已知Koszul代数被定义为具有“纯”基场分辨率的二次代数。在这篇文章中，我们将Koszulity推广到关系是S>；2次齐次的代数。一个三次Artin-Schelter正则代数激发了我们的工作。广义Koszulity与格分配性和合流性有关。证明了广义对称代数是广义Koszul的，并利用广义Koszul归结的双模形式研究了它的Hochschild同调.
Abstract It is known that a Koszul algebra is defined as being a quadratic algebra with a “pure” resolution of the ground field. In this paper, we extend Koszulity to algebras whose relations are homogeneous of degree s > 2. A cubic Artin–Schelter regular algebra has motivated our work. Generalized Koszulity is connected to lattice distributivity and to confluence. A generalized symmetric algebra is proved to be generalized Koszul, and the bimodule version of the generalized Koszul resolution is used for investigating its Hochschild homology.