How to prove that if $S: U\rightarrow V$ and $T: V\rightarrow W$ are surjective, then $TS$ is also surjective?
76674
Let $S:U\rightarrow V, \ T:V\rightarrow W$ and if $S$ and $T$ are both injective/surjective, is $T\circ S$ injective/surjective?
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
5635
How to prove that the Frobenius endomorphism is surjective?
149801
prove that $TS = ST$
16092
How to prove that the composition of two surjective functions is surjective
141166
How to show that when the linear transformation $\Phi =\psi \circ \phi : E \rightarrow G$ is injective, then $\phi$ is also injective?
103491
If $A$ is a semilocal ring and $f:A\rightarrow B$ is a surjective homomorphism, then $f(\operatorname{rad}A)=\operatorname{rad}B$
59187
Proof, is $\forall x : (P(x) \lor Q(x)) \Leftrightarrow \forall x : P(x) \lor \forall x : Q(x)$?
110014
Right Inverse for Surjective Function
129162
Show there is a surjective homomorphism from $\mathbb{Z}\ast\mathbb{Z}$ onto $C_2\ast C_3$
76049
Prove that if $a|b$ and $a|c$ then $a|(sb+tc)$ for all $s, t \in \mathbb{Z}$
60655
$\ker T\subset \ker S\Rightarrow S=rT$ when $S$ and $T$ are linear functionals
72251
$g\circ f$ is Surjective and $g$ is Injective then Prove that $f$ is surjective
98824
linear transformation $T$ such that $TS = ST$
74453
Injective and Surjective Functions
16610
Surjectivity of a map from a space to itself
52095
Prove either $G=ST$ or |$G|\geq|S|+|T|$