M is a finitely generated module over pid . consider the ring (Z/p)(x) as a module over itself. It's p component is the entire module. It's torsion submodule is the zero module. Does this case not contradict the statement in the picture. Forgive the bad presentation. I am posting from a phone
2026-04-03 12:05:52.1775217952
How do I prove p- component is contained in torsion sub module
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