| 诣零幂级数McCoy环 |
| |
| 引用本文： | 张万儒.诣零幂级数McCoy环[J].吉林大学学报(理学版),2013,51(6):1004-1008. |
| |
| 作者姓名： | 张万儒 |
| |
| 作者单位： | 河西学院 数学与统计学院, 甘肃 张掖 734000 |
| |
| 摘 要： | 给出诣零幂级数McCoy环的概念及相应的实例, 并证明了Reduced环上的n×n矩阵环不是诣零幂级数McCoy环. 讨论诣零幂级数McCoy环的扩张, 并证明了右诣零幂级数McCoy环的直积是右诣零幂级数McCoy环.
|
| 关 键 词： | 诣零McCoy环 幂级数环 幂零元 |
| 收稿时间： | 2013-01-08 |
Nil Power Serieswise McCoy Rings |
| |
| ZHANG Wan ru.Nil Power Serieswise McCoy Rings[J].Journal of Jilin University: Sci Ed,2013,51(6):1004-1008. |
| |
| Authors: | ZHANG Wan ru |
| |
| Institution: | School of Mathematics and Statistics, Hexi University, Zhangye 734000, Gansu Province, China |
| |
| Abstract: | We introduced the notion of nil power serieswise McCoy rings and gave the corresponding examples. It was proved that the n×n matrix rings over reduced rings is not nil power serieswise McCoy rings. Moreover, we investigated the extensions of nil power serieswise McCoy rings. It was shown
that the direct product of nil power serieswise McCoy rings is nil power serieswise McCoy rings. |
| |
| Keywords: | nil McCoy rings power series rings nilpotent elements |
|
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
