MAT-3110 Final: MATH 3110 App State Fall2015 Final Exam

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15 Feb 2019
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Be sure to show your work! (a) i = (6) = h6i = n (b) for each element in: and. , state whether that element is zero, a zero divisor, a unit, or none of the above. If it is a unit, give its inverse. If it is an zero divisor, show that this is the case. I (c) it turns out that there is a ring homomorphism : z18 z6 which is onto and has i = (6) = ker( ). E = 2z = {n z | n is even}. where (b) r3 3 6 = c where r3 3 is the ring of 3 3 real matrices and c is the complex numbers: (9 points) workin" in z88. If 221 is a zero divisor, prove it. If 20 is a zero divisor, prove it. If 20 is a unit, nd it"s inverse: (18 points) sub-things (a) let h = {1, y}.

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