The first cohomology group of trivial extensions of special biserial algebras | |
Xu, YG | |
刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS |
2004-08-01 | |
卷号 | 47期号:4页码:578-592 |
关键词 | Hochschild (co)homology trivial extension special biserial algebra |
ISSN号 | 1006-9283 |
DOI | 10.1360/02ys0367 |
英文摘要 | Given a finite dimensional special biserial algebra A with normed basis we obtain the dimension formulae of the first Hochschild homology groups of A and the vector space Alt(DA). As a consequence, an explicit dimension formula of the first Hochschild cohomology group of trivial extension TA = A X DA in terms of the combinatorics of the quiver and relations is determined. |
语种 | 英语 |
出版者 | SCIENCE CHINA PRESS |
WOS记录号 | WOS:000224138500008 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/680] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Xu, YG |
作者单位 | 1.Hubei Univ, Dept Math & Comp Sci, Wuhan 430062, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Xu, YG. The first cohomology group of trivial extensions of special biserial algebras[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2004,47(4):578-592. |
APA | Xu, YG.(2004).The first cohomology group of trivial extensions of special biserial algebras.SCIENCE IN CHINA SERIES A-MATHEMATICS,47(4),578-592. |
MLA | Xu, YG."The first cohomology group of trivial extensions of special biserial algebras".SCIENCE IN CHINA SERIES A-MATHEMATICS 47.4(2004):578-592. |
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