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Question Number 126808 by sdfg last updated on 24/Dec/20

Answered by JMZ last updated on 24/Dec/20

Since φ is a homomorphism φ(a+b)=φ(a)+φ(b). The kernel contais every x which

Sinceϕisahomomorphismϕ(a+b)=ϕ(a)+ϕ(b).Thekernelcontaiseveryxwhich

Answered by mindispower last updated on 24/Dec/20

⇔ϕ(a−23)=0 ⇒a−23∈Ker(ϕ) ⇒a−23∈{0,10,20} a∈{23,3,13}

⇔φ(a−23)=0⇒a−23∈Ker(φ)⇒a−23∈{0,10,20}a∈{23,3,13}

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