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 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 May 22, 2014 08:48:30 by Urs Schreiber (82.113.121.83)