倾斜、余倾斜与交换诺特环的谱
交换代数
2014-06-03 v3 范畴论
环与代数
表示论
摘要
我们通过Zariski谱的特殊化闭子集的下降序列，对所有交换诺特环上的倾斜类和余倾斜类进行了分类。因此，所有有限生成模的具有有界投射维数的可解子范畴都被分类了。我们还将我们的结果与Hochster关于有限生成极大Cohen-Macaulay模存在的猜想联系起来。
引用
@article{arxiv.1203.0907,
title = {Tilting, cotilting, and spectra of commutative noetherian rings},
author = {Lidia Angeleri Hügel and David Pospisil and Jan Stovicek and Jan Trlifaj},
journal= {arXiv preprint arXiv:1203.0907},
year = {2014}
}
备注
28 pages; version 2: a citation of the closely related paper arXiv:1202.5605 by Dao and Takahashi added; version 3: minor changes, the proofs of Corollary 4.3 and Theorem 5.10 have been extended and some points in them clarified, and the assumptions of Theorem 5.16 have been made more restrictive