GENDO-SYMMETRIC ALGEBRAS, CANONICAL COMULTIPLICATION, BAR COCOMPLEX AND DOMINANT DIMENSION

doi:10.1090/tran/6504

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	GENDO-SYMMETRIC ALGEBRAS, CANONICAL COMULTIPLICATION, BAR COCOMPLEX AND DOMINANT DIMENSION
	Fang, Ming1 ; Koenig, Steffen 2
刊名	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
	2016-07-01
卷号	368 期号:7 页码:5037-5055
关键词	Endomorphism algebra bar cocomplex dominant dimension
ISSN号	0002-9947
DOI	10.1090/tran/6504
英文摘要	To each endomorphism algebra A of a generator over a symmetric algebra, first a canonical comultiplication (possibly without a counit) is constructed and then a bar cocomplex. The algebras A are characterised by the existence of this data. The dominant dimension of A is shown to be determined by the exactness of the cocomplex at its beginning terms.
资助项目	National Natural Science Foundation of China[11001253] ; National Natural Science Foundation of China[11271318]
WOS研究方向	Mathematics
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000374000400018
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22520]
专题	数学所
通讯作者	Fang, Ming; Koenig, Steffen
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
推荐引用方式 GB/T 7714	Fang, Ming,Koenig, Steffen. GENDO-SYMMETRIC ALGEBRAS, CANONICAL COMULTIPLICATION, BAR COCOMPLEX AND DOMINANT DIMENSION[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2016,368(7):5037-5055.
APA	Fang, Ming,&Koenig, Steffen.(2016).GENDO-SYMMETRIC ALGEBRAS, CANONICAL COMULTIPLICATION, BAR COCOMPLEX AND DOMINANT DIMENSION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,368(7),5037-5055.
MLA	Fang, Ming,et al."GENDO-SYMMETRIC ALGEBRAS, CANONICAL COMULTIPLICATION, BAR COCOMPLEX AND DOMINANT DIMENSION".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 368.7(2016):5037-5055.