Definition:Constant Polynomial/Definition 3

Definition

Let $R$ be a commutative ring with unity.

Let $P \in R \sqbrk x$ be a polynomial in one variable over $R$.

The polynomial $P$ is a constant polynomial if and only if it is in the image of the canonical embedding $R \to R \sqbrk x$.

Also see

• Equivalence of Definitions of Constant Polynomial

Sources

• 1970: B. Hartley and T.O. Hawkes: Rings, Modules and Linear Algebra ... (previous) ... (next): $\S 3.2$: Polynomial rings: Notation