Practice problem
Let RRR be a ring and ℘\wp℘ a prime. Must R℘/℘R℘R_\wp/\wp R_\wpR℘/℘R℘ be the fraction field of R/℘R/\wpR/℘?
Yes.
No, because R/℘R/\wpR/℘ need not be a domain.
No, because ℘\wp℘ need not be maximal.
Hint please.
Type a concept, like “slope” or “photosynthesis”.