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Reducing Homological Conjectures by n-Recollements
Qin, Yongyun1; Han, Yang2
2016-04-01
Source PublicationALGEBRAS AND REPRESENTATION THEORY
ISSN1386-923X
Volume19Issue:2Pages:377-395
Abstractn-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.
Keywordn-recollement n-derived-simple algebra Cartan determinant Homologically smooth algebra Gorenstein algebra
DOI10.1007/s10468-015-9578-z
Language英语
Funding ProjectNational Natural Science Foundation of China[11171325] ; National Natural Science Foundation of China[11571341]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000374554800006
PublisherSPRINGER
Citation statistics
Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22684
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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