Concept

Primitive element theorem

Related lectures (9)

Gaussian Lemma III: Irreducibility and Primitive Polynomials

Explains irreducibility in polynomial equations and the properties of primitive polynomials.

Finite Element Development: Higher Order Basis Functions

Explores higher-order basis functions in finite element development and precision of models.

Untitled

Finite Element Development: Higher Order

Explores higher-order finite elements, Lagrangian family, and digital integration for stiffness matrix evaluation.

Algebraic Extensions and Decomposition of Fok [x]

Covers homomorphisms, algebraic extensions, cutting, splitting, and separable elements in Fok [x].

Galois Theory: Extensions and Residual Fields

Explores Galois theory, unramified primes, roots of polynomials, and finite residual extensions.

Limits and Continuity

Covers limits, continuity, and the intermediate value theorem in functions.

Galois Theory Fundamentals

Explores Galois theory fundamentals, including separable elements, decomposition fields, and Galois groups, emphasizing the importance of finite degree extensions and the structure of Galois extensions.

Continuous Functions: Theory and Applications

Explores continuous functions, Cauchy criterion, and function extension by continuity.