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In: Advanced Math

using theorem 11.10 (First Isomorphism Theorem), Show that the set of positive real numbers with multiplication...

using theorem 11.10 (First Isomorphism Theorem), Show that the set of positive real numbers with multiplication is isomorphic to the set of real numbers with addition.

Theorem 11.10 First Isomorphism Theorem. If ψ : G → H is a group homomorphism with K = kerψ, then K is normal in G. Let ϕ : G → G/K be the canonical homomorphism. Then there exists a unique isomorphism η : G/K → ψ(G) such that ψ = ηϕ.

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Colby Messinger answered 2 years ago
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