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  3. 4 let a be an integral domain and i a...

Question: 4 let a be an integral domain and i a...

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4. Let A be an integral domain and I a nontrivial ideal. (a) Prove that as an A-module, I is torsion-free and of rank (b) Prove that I is free if and only if it is principal. (c) Give an example showing that in the FTFGMPID the assumption thatA is a cannot be weakened to A being a

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