Suppose is a ring and are relatively prime ideals of ; that is, . Prove that for any integers , .
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Originally Posted by Erdos32212 Suppose is a ring and are relatively prime ideals of ; that is, . Prove that for any integers , . first of all, that should be and also i assume that your ring is commutative with unity. so you only need to show that this is very easy: since there exist such that thus:
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