The membership problem for ideals of binomial skew polynomial rings
文献类型：期刊论文
| 作者 | Liu, JW; Liu, ZJ; Wang, MS |
| 刊名 | COMMUNICATIONS IN ALGEBRA
 |
| 出版日期 | 2003 |
| 卷号 | 31期号:1页码:97-102 |
| 关键词 | binomial skew polynomial ring two-sided ideal Groebner basis |
| ISSN号 | 0092-7872 |
| DOI | 10.1081/AGB-120016751 |
| 英文摘要 | In this paper, we study binomial skew polynomial rings A. We produce a Groebner basis of each two-sided ideal in A (as left ideal). Thus we give a positive answer to the question 2 in Gateva-lvanova (Gateva-Ivanova, T. (1996). Skew polynomial rings with binomial relations. J. Algebra 185(3):710-753.): 'Is it true that A has a decidable membership problem for finitely generated two-sided ideals?'. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182022300006 |
| 出版者 | MARCEL DEKKER INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18740]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, JW |
| 作者单位 | 1.Xiangtan Normal Univ, Dept Math, Hunan 411201, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China 3.Chinese Acad Sci, State Key Lab Informat Secur, Inst Software, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, JW,Liu, ZJ,Wang, MS. The membership problem for ideals of binomial skew polynomial rings[J]. COMMUNICATIONS IN ALGEBRA,2003,31(1):97-102. |
| APA | Liu, JW,Liu, ZJ,&Wang, MS.(2003).The membership problem for ideals of binomial skew polynomial rings.COMMUNICATIONS IN ALGEBRA,31(1),97-102. |
| MLA | Liu, JW,et al."The membership problem for ideals of binomial skew polynomial rings".COMMUNICATIONS IN ALGEBRA 31.1(2003):97-102. |
入库方式： OAI收割
来源：数学与系统科学研究院
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