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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
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
DOI10.1007/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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