Hochschild (co)homology of exterior algebras

doi:10.1080/00927870601041375

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	Hochschild (co)homology of exterior algebras
	Xu, Yunge ; Han, Yang
	2007
发表期刊	COMMUNICATIONS IN ALGEBRA
ISSN	0092-7872
卷号	35 期号:1 页码:115-131
摘要	The minimal projective bimodule resolutions of the exterior algebras are explicitly constructed. They are applied to calculate the Hochschild (co)homology of the exterior algebras. Thus the cyclic homology of the exterior algebras can be calculated in case the underlying field is of characteristic zero. Moreover, the Hochschild cohomology rings of the exterior algebras are determined by generators and relations.
关键词	exterior algebra Hochschild (co)homology minimal projective resolution
DOI	10.1080/00927870601041375
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000244141500007
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5168
专题	系统科学研究所
通讯作者	Han, Yang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Hubei Univ, Fac Math & Comp Sci, Wuhan, Peoples R China
推荐引用方式 GB/T 7714	Xu, Yunge,Han, Yang. Hochschild (co)homology of exterior algebras[J]. COMMUNICATIONS IN ALGEBRA,2007,35(1):115-131.
APA	Xu, Yunge,&Han, Yang.(2007).Hochschild (co)homology of exterior algebras.COMMUNICATIONS IN ALGEBRA,35(1),115-131.
MLA	Xu, Yunge,et al."Hochschild (co)homology of exterior algebras".COMMUNICATIONS IN ALGEBRA 35.1(2007):115-131.