Gorenstein 代数与 Hochschild 上同调
交换代数
2009-04-28 v3 环与代数
摘要
对于交换环的同态 K-->S，其中 K 是 Gorenstein 环，S 本质上为有限型且作为 K-模是平坦的，K-->S 的所有非平凡纤维环均为 Gorenstein 的性质，通过上同调模 Ext_n^{S\otimes_KS}S{S\otimes_KS} 的性质进行了刻画。
引用
@article{arxiv.0704.3761,
title = {Gorenstein algebras and Hochschild cohomology},
author = {L. L. Avramov and S. Iyengar},
journal= {arXiv preprint arXiv:0704.3761},
year = {2009}
}
备注
This is the published version, except for updates to references and bibliography. Sections 3, 4 and 8 have been removed from the preceding version, arXiv:0704.3761v2. Substantial generalizations of results in those sections are proved in our paper with Joseph Lipman and Suresh Nayak, arXiv:0904.4004