Logarithmic Embedding in Number Fields

Related lectures (29)

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Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the Dedekind function, Euler product formula, series convergence, and analytic continuation of logarithmic functions.

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.

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

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

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.