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Abstract Algebra II: existence theorems of module over PID, 4-3-17 (no sound) Pierre-Alexandre explains some of the details behind their formalisation of the structure theorem for finitely-generated Lecture 26: We started this lecture by recalling the Classification of Finitely Generated Abelian Groups. We then recalled some ... Lecture 27: We started this lecture by defining what it means for an R- Lecture 28: In this lecture we completed the proof of Theorem 4 in Section 12.1 of Dummit and Foote. At the very end of the lecture ...
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Abstract Algebra II: existence theorems of module over PID, 4-3-17 (no sound)
Lecture 22. Structure of finitely generated modules over PIDs and applications
[London Learning Lean] Classification of f.g. modules over a PID, by Pierre-Alexandre Bazin
Classification of Modules over a PID Existence: Invariant Factors (Algebra 2: Lecture 26 Video 2)
Classification of Modules over a PID: Elementary Divisors (Algebra 2: Lecture 26 Video 3)
Lecture 10 part 2 Linearly independent, linearly dependent, cyclic Modules subject Rings and Modules
Submodules of Free Modules over a PID, Part I (Algebra 2: Lecture 27 Video 4)
Classification of Modules over a PID: The Proof of Theorem 4 (Algebra 2: Lecture 28 Video 1)
18. Cyclic Modules
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Last Updated: June 23, 2026
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