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Feb 13, 2012 at 16:09 vote accept MathStudent
Feb 13, 2012 at 2:03 comment added Keerthi Madapusi What Mukai has written down here is the co-ordinate ring of the finite group scheme $\mu_n$ that parametrizes $n^\text{th}$-roots of unity. As people have noted below, this is the dual to the group scheme $\mathbb{Z}/n\mathbb{Z}$, whose co-ordinate ring will have the co-multiplication you describe.
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Feb 13, 2012 at 0:55 history asked MathStudent CC BY-SA 3.0