Formatting Fix

This commit is contained in:
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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@@ -98,4 +98,4 @@ As a direct consequence, we see the following.
1. Given a field $F$, since $F$ is a PID, it is also a UFD. Thus, $F[x]$ is a UFD.
2. The ring of polynomials over integers, $\mathbb{Z}[x]$ is a UFD.
3. Given $D$ is a UFD, $D[x]$ is a UFD. Thus, $D[x_1, x_2]$ is a UFD, and by induction, $D[x_1, \ldots, x_n]$ is a UFD.
3. Given $D$ is a UFD, $D[x]$ is a UFD. Thus, $D[x_1, x_2]$ is a UFD, and by induction, $D[x_1, \ldots, x_n]$ is a UFD.