On strongly groupoid graded rings and the corresponding Clifford theorem

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	On strongly groupoid graded rings and the corresponding Clifford theorem
	Liu, GX ; Li, F
	2006-06-01
发表期刊	ALGEBRA COLLOQUIUM
ISSN	1005-3867
卷号	13 期号:2 页码:181-196
摘要	In this paper, we introduce the definition of groupoid graded rings. Group graded rings, (skew) groupoid rings, artinian semisimple rings, matrix rings and others can be regarded as special kinds of groupoid graded rings. Our main task is to classify strongly groupoid graded rings by cohomology of groupoids. Some classical results about group graded rings are generalized to groupoid graded rings. In particular, the Clifford Theorem for a strongly groupoid graded ring is given.
关键词	groupoid graded ring Picard groupoid Clifford theorem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000236303600001
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2944
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, GX
作者单位	1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Zhejiang Univ, Dept Math, Hangzhou 310028, Zhejiang, Peoples R China
推荐引用方式 GB/T 7714	Liu, GX,Li, F. On strongly groupoid graded rings and the corresponding Clifford theorem[J]. ALGEBRA COLLOQUIUM,2006,13(2):181-196.
APA	Liu, GX,&Li, F.(2006).On strongly groupoid graded rings and the corresponding Clifford theorem.ALGEBRA COLLOQUIUM,13(2),181-196.
MLA	Liu, GX,et al."On strongly groupoid graded rings and the corresponding Clifford theorem".ALGEBRA COLLOQUIUM 13.2(2006):181-196.