This whole chapter has been pretty out there and I think this section has been the hardest to wrap my head around, but I really liked it just the same. The hardest part to understand would be the definition and why that makes a R/M a field. But looking at and thinking about the examples helped me more than anything.
In thinking about the section, I just wonder what kinds of ideals would be prime in some of the rings we've been looking at. Like the ring of continuous functions.
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