On *-clean group rings over abelian groups

doi:10.1142/S0219498817501523

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	*On -clean group rings over abelian groups**
	Han, Dongchun 1; Ren, Yuan 2; Zhang, Hanbin 3
	2017-08-01
发表期刊	JOURNAL OF ALGEBRA AND ITS APPLICATIONS
ISSN	0219-4988
卷号	16 期号:8 页码:11
摘要	An associative ring with unity is called clean if each of its elements is the sum of an idempotent and a unit. A clean ring with involution * is called -clean if each of its elements is the sum of a unit and a projection (-invariant idempotent). In a recent paper, Huang, Li and Yuan provided a complete characterization that when a group ring F(q)C(p)k is -clean, where F-q is a finite field and C(p)k is a cyclic group of an odd prime power order p(k). They also provided a necessary condition and a few sufficient conditions for FqCn to be -clean, where C-n is a cyclic group of order n. In this paper, we extend the above result of Huang, Li and Yuan from F(q)C(p)k to FG and provide a characterization of *-clean group rings FG, where G is a finite abelian group and F is a field with characteristic not dividing the exponent of G.
关键词	Group ring *-clean ring Galois group idempotent
DOI	10.1142/S0219498817501523
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000403428300012
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/25585
专题	中国科学院数学与系统科学研究院
通讯作者	Han, Dongchun
作者单位	1.Southwest Jiaotong Univ, Dept Math, Chengdu 610000, Peoples R China 2.Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
推荐引用方式 GB/T 7714	Han, Dongchun,Ren, Yuan,Zhang, Hanbin. On *-clean group rings over abelian groups[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS,2017,16(8):11.
APA	Han, Dongchun,Ren, Yuan,&Zhang, Hanbin.(2017).On *-clean group rings over abelian groups.JOURNAL OF ALGEBRA AND ITS APPLICATIONS,16(8),11.
MLA	Han, Dongchun,et al."On *-clean group rings over abelian groups".JOURNAL OF ALGEBRA AND ITS APPLICATIONS 16.8(2017):11.