Adelic Number Theory

Related lectures (25)

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Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.

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

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

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

Explores linear algebra fundamentals, including key definitions, theorems, and practical applications in mathematics and technology.

Explains linear independence, basis, and matrix rank with examples and exercises.

Explores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

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