结合代数上的 Jacobi-Zariski 长近正合序列
K理论与同调
2021-09-14 v3 环与代数
表示论
摘要
对于域上结合代数扩张 以及 -双模 ，我们得到一个 Jacobi-Zariski 长近正合序列，它关联了 与 的 Hochschild 同调以及相对 Hochschild 同调，且均以 为系数。该长序列在三分之二处正合。存在一个谱序列收敛到正合性的缺口。
引用
@article{arxiv.2009.05017,
title = {Jacobi-Zariski long nearly exact sequences for associative algebras},
author = {Claude Cibils and Marcelo Lanzilotta and Eduardo N. Marcos and Andrea Solotar},
journal= {arXiv preprint arXiv:2009.05017},
year = {2021}
}
备注
A typo in the degree of the torsion vector spaces of the first page of the spectral sequence is corrected. The degree where the exact long sequence ends at Theorem 6.5 is therefore updated. To appear in Bulletin of the London Mathematical Society