Question

Show that the function of \( h: \mathbb{Z} \to \mathbb{Z} \) defined by h=3x is not a ring homomorphism

Answer 1

h(x+y)=3(x+y)=3x+3y=h(x)+h(y)
So its homomorphic under addition

Answer 2

\(h(x*y)=3(x*y) \neq 3x*3y = h(x)*h(y) \)

Answer 3

tada

Answer 4

YAYYYYYYYYYYY

Answer 5

SO that is all i gotta show?

Answer 6

I guessssssssssssss

Answer 7

yesh