Do we have $(z^r)^s=(z^s)^r$ for all $z\in\mathbb{C}-\{0\}$?
14627
How to combine complex powers?
1043
Image of $L=\{z\in\Bbb C \mid a\operatorname{Re}(z)+b\operatorname{Im}(z)+c=0; a^2+b^2\neq0; a,b,c\in \Bbb R \}$ under the function $e^z$
155275
If two real matrices are conjugated over $\mathbb{C}$, are they then also conjugated over $\mathbb{R}$?
24128
How do i show that $w=z^2$ maps $|z-1|\leq 1$ onto $R=2(1+\cos \theta)$?
112707
Must $Q^\mathsf{T}Q = I$ if $(Qx)^\mathsf{T}(Qx) = x^\mathsf{T}x$
128917
Inner Product on $\mathbb{R}$ and on $\mathbb{C}$
122958
$R/I$ is commutative iff $rs-sr \in I$
106584
If $A^{2n}=I$, then $A^n=\pm I$ where $A\in M_n(\mathbb{R})$
22604
Can $R \times R$ be isomorphic to $R$ as rings?
48537
If $\forall x \in R, x^2-x \in Z(G)$, than $R$ is commutative
12469
$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
113993
Complex power of a complex number
41398
For a ring $R$, does $\operatorname{End}_R(R)\cong R^{\mathrm{op}}$?
39453
How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
44685
Inner product on $C(\mathbb R)$
141799
Is $2^{|\mathbb{N}|} = |\mathbb{R}|$?