| 邓清.环上矩阵环的导子[J].数学研究及应用,1993,13(1):115~118 |
| 环上矩阵环的导子 |
| Derivations of the Full Matrix Rings over a Ring |
| 投稿时间：1990-12-19 |
| DOI：10.3770/j.issn:1000-341X.1993.01.025 |
| 中文关键词: |
| 英文关键词: |
| 基金项目: |
|
| 摘要点击次数: 2198 |
| 全文下载次数: 979 |
| 中文摘要: |
| |
| 英文摘要: |
| Let R be a ring with identity. Let Rn denote the full matrix ring over R and d be a derivation of Rn. In this note, it is shown that each derivation d of Rn may determine a derivation f of R such that d(xE) can be expressed by f for every x in R(E be the unity of Rn). Moreover, the relations between d-and f are discussed. In particulat, a necessary condition for a derivation of R to be extendable to one of Rn's is given. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|
