Show that if R, R', and R are rings, and if : R R' and

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Show that if R, R', and R" are rings, and if ∅ : R → R' and ψ : R' → R" are homomorphisms, then the composite function ψ∅ : R → R" is a homomorphism.

Data from Exercise 49

Show that if G, G', and G" are groups and if ∅ : G → G' and γ : G' → G" are homomorphisms, then the composite map γ∅ : G → G" is a homomorphism.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 05, 2023 05:26 AM

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Show that if R, R', and R are rings, and if : R R' and

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A homomorphism is a function that preserves the operations of the structure In this case we are cons...View the full answer

A First Course In Abstract Algebra

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