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\leftline{Mathematics 243 -- Algebraic Structures}
\leftline{Definitions Quiz 5 -- October 19, 2012}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A) (5) If $a,b \in {\bf Z}$, what does it mean to say $d = \gcd(a,b)$?  (Give our definition, {\it not}
a method for computing $d$, or another characterization of $d$.)

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B) (5)  Is the divisibility relation on ${\bf Z}$ transitive?  Why or why not?

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