Is Every Ideal in a Ring the Kernel of a Homomorphism?

  • Level: Graduate 
  • Thread starter Thread starter joecoz88
  • Start date Start date
  • Tags Tags
    Kernel
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
2 replies · 4K views
joecoz88
Messages
14
Reaction score
0
Kernel <--> Ideal?

I know that all kernels of ring homomorphisms are ideals, but is it true that for any ideal I of a ring R, there exists a homomorphism f: R -> R' such that Ker(f)=I?
 
Physics news on Phys.org