Abstract Algebra

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Zero Divisors in a Commutative Ring: Integers mod 12

ABSALG-WJK5VG

List all non-trivial zero divisors in the ring $\mathbb{Z}/12\mathbb{Z}$.

A

None; $\mathbb{Z}/12\mathbb{Z}$ is an integral domain.

B

$2, 3, 4, 6, 8, 9, 10$

C

$1, 5, 7, 11$

D

$2, 3, 4, 6$