The first cohomology group of trivial extensions of special biserial algebras

doi:10.1360/02ys0367

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	The first cohomology group of trivial extensions of special biserial algebras
	Xu, YG
	2004-08-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	47 期号:4 页码:578-592
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.
关键词	Hochschild (co)homology trivial extension special biserial algebra
DOI	10.1360/02ys0367
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000224138500008
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/681
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.