Suppose and are positive integer numbers with , then show that the mapping with is isomorphism ring!
Last edited by GTK X Hunter; December 23rd 2009 at 09:49 AM.
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What you mean is that it is a ring isomorphism. I'll let you show that it's a ring homomorphism. To see that it's an isomorphism, note that . (Chinese remainder theorem!) So the map is injective. Since we have we are done.
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