Show that a polynom is inversible when its coefficients are nilpotent
35222
Characterizing units in polynomial rings
28460
Show matrix is nilpotent
35034
Multiplicative inverses for $Z_n$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
154076
How to show this property of $\mathbb{RP}^{n}$.
25009
$\operatorname{tr}(A)=\operatorname{tr}(A^{2})= \ldots = \operatorname{tr}(A^{n})=0$ implies $A$ is nilpotent
39788
$a+1,a-1$ invertible for nilpotent element
121880
How to show that $|D_{2n}| = 2n$ via the presentation?
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
156443
if $x$ and $y$ commute with $[x y]$, then $[x y]$ is nilpotent
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
4517
Showing a $2\times2$ matrix is invertible
18585
Showing $A-I$ is invertible, when $A$ is a skew-symmetric matrix
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
121100
Rootspaces are $\mathop{ad}$ nilpotent
10307
Show the inverse of a bijective function is bijective
131480
Proof that composition of invertible linear transformations is invertible (without determinants)