Все публикации

Constructing Algebraic Closures II (Algebra 3: Lecture 13 Video 3)

Cyclotomic Polynomials have Integer Coefficients (Algebra 3: Lecture 15 Video 3)

Cyclotomic Polynomials and Cyclotomic Extensions (Algebra 3: Lecture 15 Video 2)

Cyclotomic Polynomials are Irreducible (Algebra 3: Lecture 15 Video 4)

Derivatives and Multiple Roots (Algebra 3: Lecture 14 Video 2)

When is an Irreducible Polynomial Separable? (Algebra 3: Lecture 14 Video 3)

Finite Extensions of Perfect Fields are Separable (Algebra 3: Lecture 14 Video 4)

Constructing Algebraic Closures I (Algebra 3: Lecture 13 Video 2)

Separable Polynomials and Separable Extensions (Algebra 3: Lecture 14 Video 1)

Splitting Fields are Unique up to Isomorphism (Algebra 3: Lecture 13 Video 1)

Examples of Splitting Fields II (Algebra 3: Lecture 12 Video 3)

Examples of Splitting Fields I (Algebra 3: Lecture 12 Video 2)

The Degree of a Splitting Field (Algebra 3: Lecture 12 Video 1)

Algebraic Closures are Algebraically Closed (Algebra 3: Lecture 12 Video 4)

Elements of F(alpha, beta) (Algebra 3: Lecture 11 Video 1)

The Field of Algebraic Numbers (Algebra 3: Lecture 11 Video 2)

The Composite of Field Extensions (Algebra 3: Lecture 11 Video 3)

Quadratic Extensions in Characteristic not Equal to 2 (Algebra 3: Lecture 10 Video 1)

Finite Extensions are Generated by Finitely Many Algebraic Elements (Algebra 3: Lecture 10 Video 3)

Degrees of Field Extensions are Multiplicative (Algebra 3: Lecture 10 Video 2)

Algebraic Extensions: The Minimal Polynomial (Algebra 3: Lecture 9 Video 2)

Homomorphisms on Polynomial Coefficients (Algebra 3: Lecture 9 Video 1)

Finite Extensions are Algebraic (Algebra 3: Lecture 9 Video 3)

Simple Extensions (Algebra 3: Lecture 8 Video 3)