= Structure theorem for finitely generated modules over a principal ideal domain
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The Structure Theorem for finitely generated modules over a principal ideal domain (PID) is a fundamental result in abstract algebra, specifically in the study of modules over rings. It describes the classification of finitely generated modules over a PID in terms of simpler components. Here’s a concise statement of the theorem: Let \\( R \\) be a principal ideal domain, and let \\( M \\) be a finitely generated \\( R \\)-module.
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