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Abstract Algebra

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Moderate

Zero Divisors in a Product Ring: Modular Arithmetic

ABSALG-G79XYO

How many zero divisors are there in the ring $\mathbb{Z}/6\mathbb{Z} \times \mathbb{Z}/8\mathbb{Z}$?

A

$1$

B

$16$

C

$56$

D

$40$