蔡传仁,章璞.环的(k,l,m,n)一根[J].数学研究及应用,1989,9(2):207~210
环的(k,l,m,n)一根
The (k,l, m,n) -radical of rings
投稿时间:1987-01-12  
DOI:10.3770/j.issn:1000-341X.1989.02.009
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蔡传仁 扬州师范学院 
章璞 扬州师范学院 
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      The concept of the (k,l,m,n) - radical was sintroduced by Szasz in[ 2 ]. In this paper, it is proved that the (k,l,m,n) -radical is a radical in the sense of Amitsur and Kurosh . and the structure of the (k,l,m,n) radical is given with the met hod of constructing upper radicals, for every quadruple of non- negative integers, k,l,m,n .As a corollary of the theorem in this paper, Szasz's results in [3] are imme-diately derived.It is also proved that the (k,l,m,n) radical of the full matrix ring over a ring A.
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