$S^{-1}A \cong A[x]/(1-ax)$
29359
Localisation isomorphic to a quotient of polynomial ring
24391
$\arcsin$ written as $\sin^{-1}(x)$
21553
Prove that $\nabla_{\mathrm X} \mbox{tr} (\mathrm A \mathrm X^{-1} \mathrm B) = - \mathrm X^{-\top} \mathrm A^\top \mathrm B^\top \mathrm X^{-\top}$
117152
Preimage of codimension one subspace of the quotient $g/D^1 g$
98587
$\mathbb Z [X] / (X)$ isomorphic to $\mathbb Z[X] / (X+1)$ isomorphic to $\mathbb Z [X] / (X+2015)$
23517
Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group
78873
How to show that the monomials are not a Schauder basis for $C[0,1]$
45469
If $a_k = \operatorname{rank}(S^k)$, deduce that $a_k - a_{k+1} \geq a_{k+1} - a_{k+2}$
122581
Prove or disprove that $G_1/H_1 \cong G_2/H_2$
34323
Prove that $a^{(p-1)/2} \equiv 1$ (mod p) and $a^{(p-1)/2} \equiv -1 \pmod p$
18036
Localization by a non-nilpotent as a polynomial quotient
150585
Group with $a=a^{-1}$ for all $a\in G$ is abelian
135422
$\operatorname{Hom}(-,A) \cong \operatorname{Hom}(-,A') \Rightarrow A \cong A'$, proof verification
13575
Need help for proving that: $f(f^{-1}(A)) ⊆ A$
105910
How to prove that $[G:xHx^{-1}] = [G:H]$ given $H \le G$?
39788
$a+1,a-1$ invertible for nilpotent element
101371
show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$