Finitely Generated Free Modules

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Submodules of Free Modules over a PID, Part I (Algebra 2: Lecture 27 Video 4) Net Worth
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Lecture 27: We started this lecture by defining what it means for an R- Episode 26 Every finitely generated module is a homomorphic image of a finitely generated free modul and for us we will only be talking about free modules of finite rank or Lecture 18: We started this lecture by defining the direct product, or external direct sum, of R- This lecture is part of an online course on rings and This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward ...

And number three which is kind of the more interesting one in my view every subm This video has chapters to make the proof easier to follow. Splitting explanation: In this video we give ...

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Episode 26 Every finitely generated module is a homomorphic image of a finitely generated free modul Profile
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Rings 8 Free modules
Lec 16. Finitely generated modules
Visual Group Theory, Lecture 4.4: Finitely generated abelian groups
What is a Module? (Abstract Algebra)
Commutative algebra 43 (Stalkwise locally free modules)
Abstract Algebra II: Fundamental Theorem of Finitely Generated Modules over PID, 4-20-26
Commutative algebra 41 Locally free modules
Free Modules (Algebra 2: Lecture 18 Video 2)
Proof: Structure Theorem for Finitely Generated Torsion Modules Over a PID

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Last Updated: June 23, 2026

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Contrasts Between Finitely Generated Vector Spaces and R-Modules (Algebra 2: Lecture 18 Video 3) Wealth
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