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\leftline{Mathematics 243 -- Algebraic Structures}
\leftline{Definitions Quiz 7 -- November 9, 2012}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A) (5) Define:  $d = \gcd(a,b)$ for $a,b \in {\bf Z}$.   

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B) (5) Let $f : {\bf Z}_8 \to {\bf Z}_8$ be defined by $f([x]) = [6][x] + [1]$.  Is $f$ one-to-one?
Why or why not?  

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