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# claim does not seem correct

If $ R$ is commutative, this is equivalent to being an integral domain.

But if R is the zero ring that it has no 1 != 0 so cannot be an

integral domain.

Maybe you want R is commutative with identity?

Parting words from the person who closed the correction:

In a few sources (but not many), an integral domain need not have a (nonzero) multiplicative identity. On the other hand, on PM, such rings are called cancellation rings. I will edit the object accordingly.

**Status:**Accepted

Reference to the user who closed the correction.:

Reference to the article this correction is about:

Status of the article (was it accepted?):

1

Status of the article (is it closed?):

1

What kind of correction is this:

Error

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