Definition:Content of Polynomial/Commutative and Unitary Ring

Definition

Let $R$ be a commutative ring with unity.

Let $f \in R \sqbrk X$ be a polynomial.

The content of $f$ is the ideal generated by its coefficients.

Also denoted as

The content of a polynomial $f$ can be seen in the literature variously denoted as:

$\cont f$ (currently used on $\mathsf{Pr} \infty \mathsf{fWiki}$)

$c_f$

$\left\langle \! \left\langle {f} \right\rangle \! \right\rangle$

Also see

• Results about Content of Polynomial can be found here.