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Math · Advanced Math
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3. Let be a language. (i) Let M,.x be y-structures and let f : M- N, be a map. What does it mean for f to be a homomorphism? What does it mean for f to be an elementary embedding? Now let be (a) Show that if g and go f are elementary embeddings, then also f is an elementary embed (b) Give an example using posets, which shows that the implication in (a) is not true in another y-structure and let g : 9 be a map. ding general for the property bijective homomorphism instead of elementary embedding No justification is required]

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