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On Matrix Rings and Subhereditary Radicals 1
Authors:
K. I. Beidar a;
W. -F. Ke a;
E. R. Puczy
owski b
owski b
| Affiliations: | a Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan |
| b Institute of Mathematics, University of Warsaw, Warsaw, Banacha, Poland |
DOI:
10.1081/AGB-120037418
Publication Frequency:
12 issues per year
Subject:
Fields & Rings;
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Abstract
We study some one-sided ideals of row bounded and of column bounded matrix rings over free algebras. Obtained results are applied to answer several open problems on subhereditary radicals of associative rings. In particular we show that the right strongly prime radical is not left subhereditary and that the lattice of left (right) subhereditary radicals is not complete.
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# Communicated by M. Ferrero.
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| Keywords: Subhereditary radicals; PI rings; Lattice of radicals; Left strongly prime radical |
| 2000 Mathematics Subject Classification: 16N80; 16S50 |
| view references (16) |
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