431–03: Field Extensions and Minimal Polynomials

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  1. John Webb
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431–03: Field Extensions

431–03: Field Extensions and Minimal Polynomials

Elements with the

Elements with the same minimal polynomial (field extensions)

Galois Theory -

Galois Theory - Minimal Polynomial of Q(sqrt(2)) over Q.

431–04: Field Extensions

431–04: Field Extensions as Vector Spaces

Basic/Primitive Extensions and

Basic/Primitive Extensions and Minimal Polynomials - Field Theory - Lecture 02

Algebraic Extensions: The

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

431 — 11:

431 — 11: Normal Extensions

431 — 09:

431 — 09: Fixed Fields

Lecture 4. Field

Lecture 4. Field Extensions

The Tower of

The Tower of Fields Law: Multiplicativity of Extension Degree

Lecture 9 The

Lecture 9 The degree of a field extension (part 1)

431 — 08:

431 — 08: The Order of Gal(L/K)

431 — 06:

431 — 06: Field Automorphisms and the Galois Group

Lecture 30. Fields,

Lecture 30. Fields, field extensions

Extension Fields as

Extension Fields as Vector Spaces

Algebraic and Transcendental

Algebraic and Transcendental Elements of a Field Extension

Field Extension ||

Field Extension || Lect-08 || Field Theory || Advanced Abstract Algebra

Chapter 12: Extension

Chapter 12: Extension Fields as Vector Spaces

Intersection of Field

Intersection of Field Extensions

431 — 06:

431 — 06: Field Homomorphisms and Isomorphisms

minimal polynomial 10

minimal polynomial 10

Abstract II: field

Abstract II: field fixing automorphisms and the fixed field of an automorphism group, 1-28-22 part 1

Algebraic extensions of

Algebraic extensions of fields are vector spaces

431 — 12:

431 — 12: The Fundamental Theorem of Galois Theory