Authors
Citation
Aa. Klein, THE SUM OF NIL ONE-SIDED IDEALS OF BOUNDED INDEX OF A RING, Israel Journal of Mathematics, 88(1-3), 1994, pp. 25-30
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00212172
Volume
88
Issue
1-3
Year of publication
1994
Pages
25 - 30
Database
ISI
SICI code
0021-2172(1994)88:1-3<25:TSONOI>2.0.ZU;2-R
Abstract
The sum N(R) of nil one-sided ideals of bounded index of a ring R is s
hown 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.