Frobenius Theorems in Number Theory

Related lectures (30)

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Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

Explores Hermite-Minkowski theorems in number fields and ideal classes.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Explores the Chinese Remainder Theorem for Euclidean domains and the properties of commutative rings and fields.