Question: How do I prove the following question relating to field of fractions? Let R be an integral domain , let P C R be a

How do I prove the following question relating to field of fractions?

How do I prove the following question relating to field of fractions?

Let R be an integral domain , let P C R be a prime ideal , and let { = Frac ( R ) be the field of fractions of R . Define RP = {7 : 4, 6 E R and 6 & P } ( a ) ( 5 points ) Prove that RP is a subring of F . ( b ) ( 5 points) Suppose now that R = Z and P = ( 5 ) . Is RP isomorphic to Z ? Justify your

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