Reducing Homological Conjectures by n-Recollements
文献类型：期刊论文
| 作者 | Qin, Yongyun1; Han, Yang2
|
| 刊名 | ALGEBRAS AND REPRESENTATION THEORY
 |
| 出版日期 | 2016-04-01 |
| 卷号 | 19期号:2页码:377-395 |
| 关键词 | n-recollement n-derived-simple algebra Cartan determinant Homologically smooth algebra Gorenstein algebra |
| ISSN号 | 1386-923X |
| DOI | 10.1007/s10468-015-9578-z |
| 英文摘要 | n-recollements of triangulated categories and n-derived-simple algebras are introduced. The relations between the n-recollements of derived categories of algebras and the Cartan determinants, homological smoothness and Gorensteinness of algebras respectively are clarified. As applications, the Cartan determinant conjecture is reduced to 1-derived-simple algebras, and the Gorenstein symmetry conjecture is reduced to 2-derived-simple algebras. |
| 资助项目 | National Natural Science Foundation of China[11171325] ; National Natural Science Foundation of China[11571341] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000374554800006 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22683]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Han, Yang |
| 作者单位 | 1.Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China 2.Chinese Acad Sci, KLMM, ISS, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qin, Yongyun,Han, Yang. Reducing Homological Conjectures by n-Recollements[J]. ALGEBRAS AND REPRESENTATION THEORY,2016,19(2):377-395. |
| APA | Qin, Yongyun,&Han, Yang.(2016).Reducing Homological Conjectures by n-Recollements.ALGEBRAS AND REPRESENTATION THEORY,19(2),377-395. |
| MLA | Qin, Yongyun,et al."Reducing Homological Conjectures by n-Recollements".ALGEBRAS AND REPRESENTATION THEORY 19.2(2016):377-395. |
入库方式： OAI收割
来源：数学与系统科学研究院
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