The sum of nil one-sided ideals of bounded index of a ring

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Abstract

The sum N(R) of nil one-sided ideals of bounded index of a ring R is shown to coincide with the set of all strongly nilpotent elements of R of bounded index. The known result that N(R) is contained in the prime radical is highly improved and it is shown N(R) is contained in N 2(R). It is proved that the sum of a finite number of nil left ideals of bounded index has bounded index.

Original languageEnglish
Pages (from-to)25-30
Number of pages6
JournalIsrael Journal of Mathematics
Volume88
Issue number1-3
DOIs
StatePublished - Oct 1994

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