ON NOETHERIAN AFFINE PRIME REGULAR HOPF ALGEBRAS OF GELFAND-KIRILLOV DIMENSION 1
文献类型：期刊论文
| 作者 | Liu, Gongxiang |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2009 |
| 卷号 | 137期号:3页码:777-785 |
| 关键词 | Homological integral Gelfand-Kirillov dimension |
| ISSN号 | 0002-9939 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000261153200001 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8210]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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