CANONICAL BIMODULES AND DOMINANT DIMENSION

doi:10.1090/tran/6976

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	CANONICAL BIMODULES AND DOMINANT DIMENSION
	Fang, Ming1,2 ; Kerner, Otto 3; Yamagata, Kunio 4
	2018-02-01
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	370 期号:2 页码:847-872
摘要	For a finite dimensional algebra A over a field k, the inherent A-bimodules which include A and its k-dual D(A), as well as those derived from them by iteratively taking their left or right A-duals or higher extensions, are crucial in many considerations. We study the properties of these bimodules, mainly of Hom(A) (D(A), A) (called the canonical A-bimodule), and utilize them to provide new characterizations of Morita algebras and the dominant dimension of A.
关键词	Bimodule dominant dimension Morita algebra
DOI	10.1090/tran/6976
语种	英语
资助项目	Natural Science Foundation of China[11271318] ; Natural Science Foundation of China[11471315] ; JSPS KAKENHI[25400036] ; JSPS KAKENHI[16K05091]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000418123800003
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29292
专题	数学所
通讯作者	Fang, Ming
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Heinrich Heine Univ, Math Inst, D-40225 Dusseldorf, Germany 4.Tokyo Univ Agr & Technol, Inst Engn, Tokyo 1848588, Japan
推荐引用方式 GB/T 7714	Fang, Ming,Kerner, Otto,Yamagata, Kunio. CANONICAL BIMODULES AND DOMINANT DIMENSION[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2018,370(2):847-872.
APA	Fang, Ming,Kerner, Otto,&Yamagata, Kunio.(2018).CANONICAL BIMODULES AND DOMINANT DIMENSION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,370(2),847-872.
MLA	Fang, Ming,et al."CANONICAL BIMODULES AND DOMINANT DIMENSION".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 370.2(2018):847-872.