ON NOETHERIAN AFFINE PRIME REGULAR HOPF ALGEBRAS OF GELFAND-KIRILLOV DIMENSION 1

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	ON NOETHERIAN AFFINE PRIME REGULAR HOPF ALGEBRAS OF GELFAND-KIRILLOV DIMENSION 1
	Liu, Gongxiang
	2009
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	137 期号:3 页码:777-785
摘要	Let k be an algebraically closed field. In 2007, D.-M. Lu, Q.-S. Wu, and J. J. Zhang asked the following question: Besides the group algebras kZ, kD and infinite dimensional prime Taft algebras, are there other noetherian a. ne prime regular Hopf algebras of GK-dimension 1? In this paper, we give a new one. Another problem posed by Lu, Wu, and Zhang can also be resolved by this example. Assuming H is a noetherian a. ne prime regular Hopf algebra of GK-dimension 1, we show that grH := circle plus s >= 0 J(iq)(s) /J(iq)(s+1), as a Hopf algebra, is isomorphic to an infinite dimensional prime Taft algebra. This gives a characterization of infinite dimensional prime Taft algebras.
关键词	Homological integral Gelfand-Kirillov dimension
语种	英语
资助项目	Natural Science Foundation of China[10801069]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000261153200001
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8211
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Gongxiang
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Gongxiang. ON NOETHERIAN AFFINE PRIME REGULAR HOPF ALGEBRAS OF GELFAND-KIRILLOV DIMENSION 1[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2009,137(3):777-785.
APA	Liu, Gongxiang.(2009).ON NOETHERIAN AFFINE PRIME REGULAR HOPF ALGEBRAS OF GELFAND-KIRILLOV DIMENSION 1.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,137(3),777-785.
MLA	Liu, Gongxiang."ON NOETHERIAN AFFINE PRIME REGULAR HOPF ALGEBRAS OF GELFAND-KIRILLOV DIMENSION 1".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 137.3(2009):777-785.