# nLab cubic function

Contents

### Context

#### Algebra

higher algebra

universal algebra

# Contents

## Definition

### In commutative rings

For a commutative ring $R$, a cubic function is a function $f \colon R \to R$ with elements $a \in R$, $b \in R$, $c \in R$, $d \in R$ such that for all $x \in R$,

$f(x) = a \cdot x^3 + b \cdot x^2 + c \cdot x + d$

where $x^2$ and $x^3$ is the canonical square function and cube function? of the multiplicative monoid.