On page 284 Dummit and Foote in their book Abstract Algebra define a prime element in an integral domain ... as follows:(adsbygoogle = window.adsbygoogle || []).push({});

My question is as follows:

What is the definition of a prime element in a ring that is not an integral domain ... does D&F's definition imply that prime elements cannot exist in a ring that is not an integral domain ... but why not ...?

Can someone please clarify this situation ...

Peter

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# I Prime Element in a Ring ...

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