Все публикации

Hilbert's Basis Theorem (Algebra 2: Lecture 12 Video 1)

The Multiplicative Group of a Finite Field is Cyclic: Proof #2 (Algebra 2: Lecture 11 Video 3)

The Multiplicative Group of a Finite Field is Cyclic (Algebra 2: Lecture 11 Video 2)

The Content of a Polynomial (Algebra 2 Lecture 9 Video 2)

Examples of Euclidean Domains II (Algebra 2: Lecture 3 Video 4)

Center, Centralizer and Normalizer (Algebra 1: Lecture 3 Video 2)

Galois Groups of Cubic Polynomials (Algebra 3: Lecture 27 Video 1)

The Fundamental Theorem of Algebra (Algebra 3: Lecture 28 Video 1)

Complex Conjugation and Cubic Polynomials with One Real Root (Algebra 3: Lecture 27 Video 2)

The Galois Group of a Quartic Polynomial (Algebra 3: Lecture 27 Video 3)

Galois Groups as Groups of Permutations (Algebra 3: Lecture 26 Video 1)

The Galois Group of x^4+ax^2+b (Algebra 3: Lecture 27 Video 4)

The Galois Group of the General Polynomial of Degree n (Algebra 3: Lecture 26 Video 2)

Galois Groups of Cyclotomic Fields (Algebra 3: Lecture 25 Video 1)

The Discriminant of a Polynomial (Algebra 3: Lecture 26 Video 3)

Subfields of Cyclotomic Fields: Examples (Algebra 3: Lecture 25 Video 3)

Abelian Extensions of Q (Algebra 3: Lecture 25 Video 4)

The Galois Group of the Composite of Galois Extensions (Algebra 3: Lecture 24 Video 1)

The Primitive Element Theorem (Algebra 3: Lecture 24 Video 3)

The Galois Closure (Algebra 3: Lecture 24 Video 2)

Composite Extensions (Algebra 3: Lecture 23 Video 2)

Splitting Fields of Polynomials over Finite Fields (Algebra 3: Lecture 23 Video 1)

Galois Theory of Finite Fields (Algebra 3: Lecture 22 Video 1)

Galois Theory of Finite Fields: Some Applications (Algebra 3: Lecture 22 Video 2)