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Abstract Algebra

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Moderate

Rings: Characteristic of Product Ring $Z/nZ\times Z/mZ$

ABSALG-F8LLD2

What is the characteristic of $R = \mathbb{Z}/n\mathbb{Z} \times \mathbb{Z}/m\mathbb{Z}$?

A

$\min(m, n)$

B

$\max(m, n)$

C

$\text{lcm}(m, n)$

D

$\text{gcd}(m, n)$

E

$mn$