| 陈维新.Γ-环及其矩阵环的QN-根和K-根[J].数学研究及应用,1997,17(2):214~216 |
| Γ-环及其矩阵环的QN-根和K-根 |
| The QN-Radicals and K-Radicals of Γ-Rings and Their Matrix Rings |
| 投稿时间：1994-02-25 |
| DOI：10.3770/j.issn:1000-341X.1997.02.013 |
| 中文关键词: Γ－环 Γn，m－环 QN－根 K－根 |
| 英文关键词:Γ-ring Γn,m-ring QN-radical K-radical. |
| 基金项目:浙江省自然科学基金资助项目. |
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| 中文摘要: |
| 文中研究了Γ－环Ｍ与其矩阵环Γｎ，ｍ－环Ｍｍ，ｎ根的关系，得到了：ＱＮ（Ｍｍ，ｎ）(?)（ＱＮ（Ｍ））ｍ，ｎ；Ｋ（Ｍｍ，ｎ）(?)（Ｋ（Ｍ））ｍ，ｎ．这里ＱＮ－根是Γ－环元素的强幂零性所确定的根，Ｋ－根是诣零根 |
| 英文摘要: |
| In this paper, we study the relation of the radicals between Γ-ring M and its matrix ring Γn，m-ring Mｍ，ｎ. It is proved that QN(Mｍ，ｎ)(?)(QN(M))ｍ，ｎ, K(Mｍ，ｎ)(?)(K(M))ｍ，ｎ, where the QN-radical is the radical determined by property of strongly nil elements, the K-radical is the nil radical (or Koethe radical). |
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