Surjective iff right invertible. Bijective iff invertible
132287
Axiom of Choice and Right Inverse
58561
Right and left inverse
20303
A function $f\colon E\to F$ between finite sets is injective iff it is surjective iff it is bijective
53551
$f(A\cap B)=f(A)\cap f(B)$ $\iff$ $f$ is injective.
64077
$I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
115636
Show that $f$ is either injective or a constant function.
45792
Rigorous proof that surjectivity implies injectivity for finite sets
10307
Show the inverse of a bijective function is bijective
95086
Homeomorphism is bijective
53113
$I-AB$ be invertible $\Leftrightarrow$ $I-BA$ is invertible
23464
How to find a explicit bijection for some $f:A\times B \rightarrow B \times A$
70912
If $g\circ f$ is injective and $f$ is surjective then $g$ is injective
68724
$||T-I|| < 1$ implies that $T$ is invertible.
5644
Is a right inverse of a surjective linear map linear?
45380
Surjectivity implies injectivity and conversely
6023
Surjectivity of Composition of Surjective Functions
102827
When do surjections split in ZF? Two surjections imply bijection?