 #1
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Main Question or Discussion Point
On page 284 Dummit and Foote in their book Abstract Algebra define a prime element in an integral domain ... as follows:
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
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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