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\leftline{Mathematics 243 -- Algebraic Structures}
\leftline{Definitions Quiz 4 -- October 5, 2012}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A) (5) What does it mean for $f : A \to B$ to be a one-to-one mapping? 

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B) (5)  Let $R$ be the relation on ${\bf Z}$ defined by $xRy \Leftrightarrow x = ky$ for
some integer $k$.  Is $R$ an equivalence relation?  Why or why not?

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