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Prime elements in the subring $R = \mathbb Z + x \mathbb Q[x]$ of $ \mathbb Q[x]$
Two questions I was given and want to make sure my reasoning is correct.
(1) Show that if $p$ is prime in $Z$, then $p$ is prime in $R = \mathbb Z + x \mathbb Q[x]$ (the subring of polynomials ...
- 151
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Sanity check on factorization of $\langle 5 \rangle$ in $\mathbb{Z}_{10}$
Looking at $\mathbb{Z}_{10}$, consisting of $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ with addition and multiplication adjusted so the ring is closed under both operations.
Clearly $5 = 3 \times 5 = 5 \times 5 =...
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