SOLUTION: Let R, S be rings and f:R to S be an epimorphism and R is Noetherian. Then show that S is Noetherian. Thank you again!!!

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Question 1179185: Let R, S be rings and f:R to S be an epimorphism and R is Noetherian. Then show that S is Noetherian.
Thank you again!!!
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

Look into these links/sources

https://yutsumura.com/if-r-is-a-noetherian-ring-and-frto-r-is-a-surjective-homomorphism-then-r-is-noetherian/

and find there the proof to the statement you need.



(It is the area  (part of Abstract Algebra)  which I studied during my years at the university many years ago . . . )