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OpenStudy (swissgirl):
Show that the function of \( h: \mathbb{Z} \to \mathbb{Z} \) defined by h=3x is not a ring homomorphism
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OpenStudy (swissgirl):
h(x+y)=3(x+y)=3x+3y=h(x)+h(y) So its homomorphic under addition
OpenStudy (swissgirl):
\(h(x*y)=3(x*y) \neq 3x*3y = h(x)*h(y) \)
OpenStudy (anonymous):
tada
OpenStudy (swissgirl):
YAYYYYYYYYYYY
OpenStudy (swissgirl):
SO that is all i gotta show?
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OpenStudy (swissgirl):
I guessssssssssssss
OpenStudy (anonymous):
yesh
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