Polynomials

Related lectures (31)

Page 3 of 4

Explores homomorphisms in topology and delves into Galois theory.

Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

Explores polynomial factorization over a field, emphasizing eigenvalues and irreducible components.

Explores algebraic extensions, constructions, irreducible polynomials, autonomous constructions, and cutting compositions.

Discusses the classification of finite extensions of Qp and introduces Krassner's Lemma on root continuity.

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

Explores Viète's identities, relating polynomial roots and coefficients to solve equations.

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Covers the factorization of polynomials over a field, including division with remainder and common divisors.