Unit + nilpotent = a unit
111824
Sum of nilpotent and element is a unit in ring?
145364
units in indefinite integral
89864
Units in finite polynomial rings
115585
Do Boolean rings always have a unit element?
25748
If $G / Z(G)$ nilpotent then G is nilpotent.
15904
Prime ideal and nilpotent elements
148550
Units in quotient ring of $\mathbb Z[X]$
66968
if $a,b$ are nilpotent elements of a commutative ring $R$, show that $a+b$ is also nilpotent
41514
Let $trcA=0$.why $A=M+N$ where $M$ and $N$ are nilpotent matrices?
121987
Direct proof that nilpotent matrix has zero trace
16023
Are associates unit multiples in a commutative ring with $1$?
89518
unit conversion issue
32772
Proving units in a ring
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
92837
Solvable and nilpotent groups, normal series and intuition
47709
If $n\mid m$ prove that the canonical surjection $\pi: \mathbb Z_m \rightarrow \mathbb Z_n$ is also surjective on units