nLab depressed cubic function

Definition

In commutative rings

For a commutative ring $R$, a depressed cubic function is a function $f \colon R \to R$ with elements $p \in R$, $q \in R$ such that for all $x \in R$,

$$f(x) = x^3 + p \cdot x + q$$

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

See also

• cubic function

• real cubic function

References

See also:

• Wikipedia, Cubic function
• Wikipedia, Cubic equation