How many additive cosets exist for the ideal I in the subring R?

Thread starter e179285
Start date Jun 5, 2012
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Cosets

Jun 5, 2012

e179285

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 :)

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Jun 5, 2012

micromass

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Did you make a typo?? The way you wrote it implies that I=R.

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