Determine all ring homomorphisms of into .

Clearly justify your method.

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- February 18th 2013, 12:07 AMBernhardRing Homomorphisms
Determine all ring homomorphisms of into .

Clearly justify your method. - February 19th 2013, 04:26 PMjakncokeRe: Ring Homomorphisms
Since every element in ZxZ can be written as m(1,0) + n(0,1) for m,n in I think every homomorphism would send [ (1,0) to (n,0), (0,1) to (0,m) ]for integers n, m and then theres just the identity homomorphism.