Let f: R \rightarrow S be a surjective homomorphism of commutat... | Filo
Let f: R \rightarrow S be a surjective homomorphism of commutat... | Filo
4 months ago
askfilo.com
SOLVED:(a) Let f: R →S be a surjective homomorphism of rings and let I be an ideal in R. Prove that f(I) is an ideal in S, where f(I)={s ∈S |s=f(a) for some a ∈I}. (b) Show by example that part (a) may be false if f is not surjective.
SOLVED:(a) Let f: R →S be a surjective homomorphism of ring…
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