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Formatting Fix

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Nathan Nguyen
2024-10-08 21:17:36 -05:00
parent a1a56aa3c2
commit d0bebcf40b
13 changed files with 26 additions and 24 deletions
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docs/math/abstract-algebra/17-polynomial-rings.md
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# Chapter 17 - Polynomial Rings
## Section 17.1 - Polynomial Rings
Throughout this chapter, we will assume that $R$ is a commutative ring with identity.
@@ -63,4 +64,4 @@ Then, if $p | a_i$ for $0 \leq i < n$, but $p \nmid a_n$ and $p^2 \nmid a_0$, th
**Theorem**. If $F$ is a field, then every ideal in $F[x]$ is a principal ideal.
**Theorem**. Let $F$ be a field, and suppose $p(x) \in F[x]$. Then, the ideal $<p(x)>$ is maximal if and only if $p(x)$ is irreducible.
**Theorem**. Let $F$ be a field, and suppose $p(x) \in F[x]$. Then, the ideal $<p(x)>$ is maximal if and only if $p(x)$ is irreducible.