Why is it that if a ring is simple, it's center must be a field? – math.stackexchange.com

Why is it that if a ring is simple, it's center must be a field? – math.stackexchange.com

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I have a statement that says that if $R$ is a simple ring, then $Z(R)$ must be a field. Since $R$ is a ring we get most of the field axioms (associativity and commutativity of addition, ...

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