Media Summary: Lecture 15: We started this lecture by proving Lecture 14: In this lecture we discussed F[x]-modules. We first saw why an F[x]-module V had to be a vector space over F. We then ... In this video, we introduce the notion of
The Submodule Criterion Algebra 2 - Detailed Analysis & Overview
Lecture 15: We started this lecture by proving Lecture 14: In this lecture we discussed F[x]-modules. We first saw why an F[x]-module V had to be a vector space over F. We then ... In this video, we introduce the notion of Lecture 13: In this lecture we began our discussion of modules. We started by recalling what it means for a set V to be vector ... Lecture 27: We started this lecture by defining what it means for an R-module to be Noetherian. We gave several equivalent ... Lecture 10: In the last lecture we spent a lot of time talking about factorizations of elements in R[x] into irreducible elements and in ...
We're still in 10.1 of Dummit and Foote for the most part. We finish the discussion of F[x]-modules, discuss That makes sense too right we call it a stable subspace it fixes it to itself okay so proposition one