How to find all Ring homomorphisms from $\mathbb Z_m$ to $\mathbb Z_n$ (with the usual ring structure ) ?

  • $\begingroup$ This is surely a duplicate... $\endgroup$ – Sal Dec 3 '14 at 5:59
  • $\begingroup$ Note that by the usual definition, all ring homomorphisms map the identity of one ring to the identity of the other. $\endgroup$ – Omnomnomnom Dec 3 '14 at 6:02
  • $\begingroup$ See this. $\endgroup$ – jdoicj Dec 3 '14 at 6:05
  • $\begingroup$ (The weaker requirement of ring homomorphism allows for a more interesting consideration; if you really insist on ring homomorphisms, see the comment by Omnom... above). $\endgroup$ – user147263 Dec 3 '14 at 6:21

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