MATH 4200 Midterm: MATH 4200 LSU Fall 18 Exam fa
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Answer each of the questions on your own paper. Be sure to show your work so that partial credit can be adequately assessed. Put your name on each page of your paper: [10 points] all of the following are commutative rings with identity: z, q, r, c, z2, You do not need to justify your answers to this question. Integral domains are: z, q, r, c, z2, z3, z5. If a, b i, r r, then a b i and ra i. (b) de ne what it means for an ideal to be prime. An ideal i is prime if i 6= r and if ab i then a i or b i. (c) de ne what it means for an ideal to be maximal. The map : z[x] z given by (f (x)) = f (0) is a ring homomor- phism. The homomorphism is surjective since, for the constant polynomial n,