| The QN-Radicals and K-Radicals of Γ-Rings and Their Matrix Rings |
| Received:February 25, 1994 |
| Key Words:
Γ-ring Γn，m-ring QN-radical K-radical.
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| Abstract: |
| 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). |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1997.02.013 |
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