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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Author NameAffiliation
Chen Weixin Dept. of Math.
Zhejiang Univ.
Hangzhou 310027 
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      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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