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CANONICAL BIMODULES AND DOMINANT DIMENSION
Fang, Ming1,2; Kerner, Otto3; Yamagata, Kunio4
2018-02-01
Source PublicationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9947
Volume370Issue:2Pages:847-872
AbstractFor 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.
KeywordBimodule dominant dimension Morita algebra
DOI10.1090/tran/6976
Language英语
Funding ProjectNatural Science Foundation of China[11271318] ; Natural Science Foundation of China[11471315] ; JSPS KAKENHI[25400036] ; JSPS KAKENHI[16K05091]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000418123800003
PublisherAMER MATHEMATICAL SOC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29292
Collection数学所
Affiliation1.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
Recommended Citation
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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