Brauer-Thrall Type Theorems for Derived Module Categories
文献类型:期刊论文
作者 | Zhang, Chao1; Han, Yang2![]() |
刊名 | ALGEBRAS AND REPRESENTATION THEORY
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出版日期 | 2016-12-01 |
卷号 | 19期号:6页码:1369-1386 |
关键词 | Derived category Indecomposable object Derived finite algebra Derived discrete algebra Piecewise hereditary algebra |
ISSN号 | 1386-923X |
DOI | 10.1007/s10468-016-9622-7 |
英文摘要 | The numerical invariants (global) cohomological length, (global) cohomological width, and (global) cohomological range of a complex (an algebra) are introduced. Cohomological range leads to the concepts of derived bounded algebra and strongly derived unbounded algebra naturally. The first and second Brauer-Thrall type theorems for the bounded derived category of a finite-dimensional algebra over an algebraically closed field are obtained. The first Brauer-Thrall type theorem says that derived bounded algebras are just derived finite algebras. The second Brauer-Thrall type theorem says that an algebra is either derived discrete or strongly derived unbounded, but not both. Moreover, piecewise hereditary algebras and derived discrete algebras are characterized as the algebras of finite global cohomological width and the algebras of finite global cohomological length respectively. |
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:000388252300005 |
出版者 | SPRINGER |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24164] ![]() |
专题 | 系统科学研究所 |
通讯作者 | Han, Yang |
作者单位 | 1.Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China 2.Chinese Acad Sci, KLMM, ISS, AMSS, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, Chao,Han, Yang. Brauer-Thrall Type Theorems for Derived Module Categories[J]. ALGEBRAS AND REPRESENTATION THEORY,2016,19(6):1369-1386. |
APA | Zhang, Chao,&Han, Yang.(2016).Brauer-Thrall Type Theorems for Derived Module Categories.ALGEBRAS AND REPRESENTATION THEORY,19(6),1369-1386. |
MLA | Zhang, Chao,et al."Brauer-Thrall Type Theorems for Derived Module Categories".ALGEBRAS AND REPRESENTATION THEORY 19.6(2016):1369-1386. |
入库方式: OAI收割
来源:数学与系统科学研究院
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