Unformatted text preview: = n ( n + 1) 2 . 5. Show that J a := { ka : a ∈ Z } is an ideal of Z . 6. Use the Well Ordering Principle to show that there is no integer α such that < α < 1 . 7. If a  bc and a and b are relatively prime then a  c . 8. Let a , b be both not zero. Let d = gcd( a,b ). There are integers x , y such that ax + by = c if and only if d  c . 1...
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This note was uploaded on 06/03/2011 for the course MAS 3300 taught by Professor Staff during the Spring '08 term at University of Florida.
 Spring '08
 Staff

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