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Spanning Sets and Bases of Vector Spaces (Algebra 2: Lecture 22 Video 1)

Tensor Products: Additional Things to Know (Algebra 2: Lecture 21 Video 5)

Tensor Products of Free Modules (Algebra 2: Lecture 21 Video 4)

The Tensor Product of Finite Cyclic Groups (Algebra 2: Lecture 21 Video 3)

Spanning Sets of Tensor Products (Algebra 2: Lecture 21 Video 1)

Beginner Questions about Tensor Products (Algebra 2: Lecture 21 Video 2)

What Happens when R is not Commutative? (Algebra 2: Lecture 20 Video 3)

The Definition of the Tensor Product (Algebra 2: Lecture 20 Video 1)

Tensor Products Exist (Algebra 2: Lecture 20 Video 2)

Bilinear Maps (Algebra 2: Lecture 19 Video 3)

The Free R-Module on a Set A (Algebra 2: Lecture 19 Video 1)

Quotients of Free Modules/Q is not a Free Z-module (Algebra 2: Lecture 19 Video 2)

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

Free Modules (Algebra 2: Lecture 18 Video 2)

Direct Sums of R-Modules (Algebra 2: Lecture 18 Video 1)

Examples of Generating Sets of R-Modules (Algebra 2: Lecture 17 Video 2)

Generating Sets for Free Modules and F[x]-Modules (Algebra 2: Lecture 17 Video 3)

F[x]-Submodules (Algebra 2: Lecture 14 Video 3)

Composing R-Module Homomorphisms and the Endomorphism Ring (Algebra 2: Lecture 16 Video 2)

Quotients of R-Modules and the Isomorphism Theorems (Algebra 2: Lecture 16 Video 3)

The Structure of Hom(M,N) (Algebra 2: Lecture 16 Video 1)

Examples of R-Module Homomorphisms (Algebra 2: Lecture 15 Video 3)

Two Example Problems (Algebra 2: Lecture 15 Video 2)

The Submodule Criterion (Algebra 2: Lecture 15 Video 1)