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Communications in Algebra Volume 32, 2004 - Issue 7
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Original Articles

On Matrix Rings and Subhereditary Radicals

K. I. Beidar Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan; Department of Mathematics, National Cheng-Kung University, Tainan, TaiwanCorrespondence[email protected] [email protected]
,
W.-F. Ke Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan
&
E. R. Puczyłowski Institute of Mathematics, University of Warsaw, Warsaw, Banacha, Poland
Pages 2827-2839 | Received 01 Jan 2003, Published online: 18 Aug 2006
 
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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.

2000 Mathematics Subject Classification:

Acknowledgment

The third author was supported by KBN Grant 5 PO3A 041 20 and National Cheng-Kung University, Tainan, Taiwan.

Notes

# Communicated by M. Ferrero.

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