nLab
nilpotent ideal

Contents

Definition

For nn a positive integer and II a (left) ideal of a ring RR, let I nI^n denote the ideal of RR consisting of all finite sums of nn-tuple products i 1i ni_1\cdots i_n of elements in II.

Definition

A (left) ideal II of a ring RR is nilpotent if there exists a positive natural number nn such that I nI^n is the zero ideal of RR.

Revised on July 10, 2015 13:17:19 by Ingo Blechschmidt (137.250.162.16)