# Polynomial Ring is Generated by Indeterminate over Ground Ring

Jump to navigation
Jump to search

## Theorem

Let $R$ be a commutative ring with unity.

Let $R \sqbrk X$ be a polynomial ring over $R$.

Let $\iota: R \to R \sqbrk X$ be the embedding.

Then $R \sqbrk X$ is generated by $X$ over $R$.