On matrix rings and subhereditary radicals

K. I. Beidar, W. F. Ke, E. R. Puczylowski

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)2827-2839
Number of pages13
JournalCommunications in Algebra
Volume32
Issue number7
DOIs
Publication statusPublished - 2004 Dec 1

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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