(adsbygoogle = window.adsbygoogle || []).push({}); what is "the ideal generated by a and b."

I'm doing a problem and I'm a little confused on the notation.

Let R be a ring and [tex]a,b \in R[/tex]. Prove that [tex](a, b)[/tex], the ideal generated by a and b is the...

I want to do this on my own so I left out the rest of the problem. I just need to know if [tex](a, b) = aR \cup bR[/tex]. Or is it some kind of set of ordered pairs?

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# Homework Help: What is the ideal generated by a and b.

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