Examples of functions $f:\mathbb Z \to \mathbb Z:\;$ surective, injective, bijective?
53168
Surjective, Injective, Bijective Functions from $\mathbb Z$ to itself
155531
Entire functions such that $f(z+\lambda_1)=af(z) \; , \; f(z+\lambda_2)=bf(z) $
5375
Is there a bijective function mapping Natural numbers to Natural numbers, other than $f(n) = n$?
74453
Injective and Surjective Functions
14322
Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$
39090
Finding functions such that $f(g(x)) = f(x)g(x)$
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
55900
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
89415
Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
149328
A function such that $f:\mathbb C \to \mathbb C$ such that $f(z)f(iz)=z^2$ satisfies $f(z)+f(-z)=0$.(MADHAVA-2020)
6825
If $f: \mathbb Q\to \mathbb Q$ is a homomorphism, prove that $f(x)=0$ for all $x\in\mathbb Q$ or $f(x)=x$ for all $x$ in $\mathbb Q$.
150961
An example for a homomorphism that is not an automorphism
33330
Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
103019
Find all functoins $f: \mathbb R \rightarrow \mathbb R$ such that $\forall x,y \in \mathbb R f(xy+f(x))=xf(y)+f(x)$
11453
Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?
57071
Examples of Recursive functions
97772
An example of a function which satisfies $\sup_{y}\inf_{x}f(x,y)<\inf_{x}\sup_{y}f(x,y)$