In class, we recently saw that the sum of 2 twosided nil ideals is a nil ideal. We were asked to show that the sum of a niplotent left ideal and a nil left ideal is a nil left ideal.
I am having trouble with this. Can anyone help?
In class, we recently saw that the sum of 2 twosided nil ideals is a nil ideal. We were asked to show that the sum of a niplotent left ideal and a nil left ideal is a nil left ideal. I am having trouble with this. Can anyone help? 

