| M-McCoy环和M-Armendariz环的多项式扩张 |
| |
| 引用本文： | 宋雪梅,李旭东.M-McCoy环和M-Armendariz环的多项式扩张[J].纯粹数学与应用数学,2010,26(4):663-667. |
| |
| 作者姓名： | 宋雪梅 李旭东 |
| |
| 作者单位： | 兰州城市学院数学学院,甘肃,兰州,730070;兰州城市学院数学学院,甘肃,兰州,730070 |
| |
| 摘 要： | 研究非交换环上的相对于幺半群的McCoy环和Armendariz环的多项式扩张.对于包含无限循环子幺半群的交换可消幺半群M,证明了若R是M-McCoy（或M-Armendariz）环,则R上的洛朗多项式环Rx,x-1]是M-McCoy（或M-Armendariz）环.
|
| 关 键 词： | 幺半群 McCoy环 Armendariz环 M-McCoy环 M-Armendariz环 洛朗多项式环 |
Polynomial extensions of M-McCoy rings and M-Armendariz rings |
| |
| SONG Xue-mei,LI Xu-dong.Polynomial extensions of M-McCoy rings and M-Armendariz rings[J].Pure and Applied Mathematics,2010,26(4):663-667. |
| |
| Authors: | SONG Xue-mei LI Xu-dong |
| |
| Institution: | SONG Xue-mei,LI Xu-dong(School of Mathematics,Lanzhou City University,Lanzhou 730070,China) |
| |
| Abstract: | Polynomial extensions of M-McCoy rings and M-Armendariz rings relation to a monoid over general noncommutative rings are studied.For a commutative and cancellative monoid M containing an infinite cyclic submonoid h,it is showed that if R is an M-McCoy(resp.M-Armendariz) ring,then Laurent polynomial ring Rx,x-1] is an M-McCoy(resp.M-Armendariz) ring. |
| |
| Keywords: | monoid McCoy ring Armendariz ring M-McCoy ring M-Armendariz ring Laurent polynomial ring |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
