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Homework Help: Writing Ideals

  1. Jun 5, 2012 #1
    Let R be the subring {x + yi : x, y in 2Z} of C, and
    let I be the ideal {x + yi : x,y in 2Z}of R.
    How many additive cosets has I in R? List them clearly.

    I know definition of ideal but ı don't know how to write in set is that question describe.Please help :)
  2. jcsd
  3. Jun 5, 2012 #2
    Did you make a typo?? The way you wrote it implies that I=R.
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