I was wondering what Q/Z, or the rational numbers modulo the integers.

  • Thread starter zcdfhn
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  • #1
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Main Question or Discussion Point

I was wondering what Q/Z, or the rational numbers modulo the integers. I am struggling to visualize what the cosets may be.

Thank you for your time.
 

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  • #2
Hurkyl
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If we represent an element of Q/Z by a rational number, only the fractional part is significant. i.e. -3/4, 1/4, and 5/4 all name the same element of Q/Z.
 
  • #3
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Oh ok i think I get it, so rational numbers that are the same signed fractional distance from an integer are in the same coset of Q/Z?
 

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