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November 25th, 2007, 03:56 PM   #1
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jacobson radical

Hello,
How would you describe Jacobson(nZ) in terms of prime factorization of n?
Jacobson(nZ) = intersection of all maximal ideals of a commutative ring R with unity that contains nZ with n >1.
I have read some books and it seems related with maximal ideals of Z are generated by ideals pZ where p is prime number, but I don't really understand.

Thank you in advance.
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