MATH 546 Midterm: MATH546 South Carolina 546 fe f11 v2
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If possible: turn the problems in order (use as much paper as necessary), use only one side of each piece of paper, and leave 1 square inch in the upper left hand corner for the staple. If you forget some of these requests, don"t worry about it i will still grade your exam. No calculators or cell phones: (7 points) prove that z a well-de ned function. nz. Z nz , given by (a + nz, b + nz) 7 ab + nz , is: (7 points) recall that z n is the set of cosets a + nz in z are relatively prime integers. You proved for homework that z under the operation of problem 1. What is the inverse of 38 + 105z in z nz where a and n n is a group. 105 : (7 points) recall the de nition of the group z .
