THE SUM OF NIL ONE-SIDED IDEALS OF BOUNDED INDEX OF A RING

被引：17

作者：

KLEIN, AA

机构：

[1] Sackler Faculty of Exact Sciences, School of Mathematical Sciences, Tel Aviv University, Tel Aviv

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1994年 / 88卷 / 1-3期

关键词：

D O I：

10.1007/BF02937505

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：25 / 30

页数：6