CANONICAL BIMODULES AND DOMINANT DIMENSION | |
Fang, Ming1,2; Kerner, Otto3; Yamagata, Kunio4 | |
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. |
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