Embeddings of Number Fields

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Related lectures (31)

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Ideals and Representations

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Number Fields: Embeddings and Ideal Classes

Covers the embeddings of number fields and ideal classes with proofs and examples.

Tensor Products of Modules

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Hermite-Minkowski Theorems: Number Fields and Ideal Classes

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

Logarithmic Embedding in Number Fields

Explores the properties and applications of logarithmic embeddings in number fields.

Dimension Theory of Rings

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

Simple Modules: Schur's Lemma

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Dedekind Rings and Fractional Ideals

Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.

Adelic Number Theory

Explores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.

Primary Decomposition in Rings

Explores primary decomposition in rings, focusing on primary ideals and their properties.