# Thread: Rings: when the center is an ideal

1. ## Rings: when the center is an ideal

When is the center Z(R) also an ideal of R?

2. Originally Posted by smacktalk88

When is the center Z(R) also an ideal of R?
i guess the ring $R$ is assumed to have $1$? then $Z(R)$ is an ideal iff $R$ is commutative, i.e. $Z(R) = R,$ because $1_R \in Z(R).$

3. Can you prove that? I am having trouble interpreting what you have said there.