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Module (Basic "Representation") Theory and Lattices

Topics in Module (Basic "Representation") Theory and Lattices

Numbered in the order to learn them.

  1. What's a Module / Submodule?

  2. Module Maps (Homomorphisms)

  3. Projections, Quotients, Inclusions, Direct Sum, Etc.

  4. Finitely Generated Modules Are Not Necessarily Free

  5. Classification of Finitely Generated Z- and k[t]-Modules

  6. Lattices and (Broad) Applications

  7. Abelian Groups vs. Z-Modules

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