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4. Suppose that M C z2 is a non-zero Z-submodule. For each statement below, decide whether i t is TRUE or FALSE and explain y
(b) If M happens to be a free Z-module of rank 2, then M -Z2
4. Suppose that M C z2 is a non-zero Z-submodule. For each statement below, decide whether i t is TRUE or FALSE and explain your choice. If you use a theorem, clearly state the theorem and why any required hypotheses are satisfied. If you claim a statement is false, provide a counter-example. a. M is a free module.
(b) If M happens to be a free Z-module of rank 2, then M -Z2
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2 Let A be a PI.D. Let M be a Rnee A- mokle even - Bulbmo dle M a neo, TRUE

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