My teacher put heavy emphases on acknowledging that a subset is nonempty of a ring when proving something is a subring of something.(adsbygoogle = window.adsbygoogle || []).push({});

For the final exam, she wants to put a question with empty subset of a ring, and do subring proof. The empty subset would have "nice" description so you can do closed under subtraction and closed under multiplication (but it would be meanless to pick elements from a empty subset)

I find it hard to come up with such description of a empty subset of a ring. Anybody have any ideas?

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# EMPTY subset of a ring

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