Reducing Homological Conjectures by n-Recollements

doi:10.1007/s10468-015-9578-z

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	Reducing Homological Conjectures by n-Recollements
	Qin, Yongyun 1; Han, Yang2
	2016-04-01
发表期刊	ALGEBRAS AND REPRESENTATION THEORY
ISSN	1386-923X
卷号	19 期号:2 页码:377-395
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.
关键词	n-recollement n-derived-simple algebra Cartan determinant Homologically smooth algebra Gorenstein algebra
DOI	10.1007/s10468-015-9578-z
语种	英语
资助项目	National Natural Science Foundation of China[11171325] ; National Natural Science Foundation of China[11571341]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000374554800006
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22684
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.