New posts in Nilpotence

$a+1,a-1$ invertible for nilpotent element

Direct proof that nilpotent matrix has zero trace

Nilpotent commutative matrices $A, B$ $\Longrightarrow$ $A+B$ nilpotent.

Prove that the only eigenvalue of a nilpotent operator is 0?

Prove that if $A$ is Hermitian and $A^m=I$, then $A^2=I$ (and $A=I$ if $m$ is odd)

If $a_M$ is not locally nilpotent, why does there exist $x \in M$ and a prime ideal $\mathfrak{p}$ such that $(Ax)_\mathfrak{p} \neq 0$?

How to show that the nth power of a $n \times n$ nilpotent matrix equals to zero $A^n=0$

$A$ is normal and nilpotent, show $A=0$