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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