Important theorems about ring homomorphisms and ideals. 1. Suppose that R and R' are rings and that φ : R -→ R' is a ring hom
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![SOLVED: Question 2 [19 marks] (a) Define what is meant by a ring homomorphism between two rings R and S, and define what is meant by its kernel: (6) Suppose that 0](https://cdn.numerade.com/ask_images/44065acaa9c74122a98d33e110a8359a.jpg "SOLVED: Question 2 [19 marks] (a) Define what is meant by a ring homomorphism between two rings R and S, and define what is meant by its kernel: (6) Suppose that 0")
SOLVED: Question 2 [19 marks] (a) Define what is meant by a ring homomorphism between two rings R and S, and define what is meant by its kernel: (6) Suppose that 0
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SOLVED: Definition: Let o: R = be a ring homomorphism between rings Then the kernel of 0 is ker(o) = re R:o(r) = 0. Proposition 2.0 If 0: R 7 5 i
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