Open Question: Proving a ring homorphism?
19:07 Publicado por Flechado16
Consider the mapping from M2(Z) into Z given by the matrix
[a b]
[c d] --> a.
[a b]
[c d] --> a.
Prove or disprove that this is a ring homomorphism.
I know that it doesn't hold for Multiplication(so it isn't a ring homomorphism) but i would really love how the answer was gotten. Show addition and Multiplication, if you could.
Thanks!
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